Prime Factorization Method
There are multiple ways to find the greatest common factor of given integers. One of these involves computing the prime factorizations of each integer, determining which factors they have in common, and multiplying these factors to find the GCD.
- Find the prime factorization of each number:
103 = 103
412 = 2, 2, 103
- Identify the common prime factors between 103 and 412: 103
- To find GCF multiply the common prime factors: GCF(103, 412) = 103
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!
Listing All Common Factors Method
To find the Greatest Common Factor (GCF) of 103 and 412 by listing all common factors, follow these steps:
- List all factors of each number:
- Factors of 103: 1, 103
- Factors of 412: 1, 2, 4, 103, 206, 412
- Identify the common factors of 103 and 412: 1, 103
- Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 103
So, the Greatest Common Factor (GCF) of 103 and 412 is 103.