What is the Greatest Common Factor of 2912 and 2929?

Greatest common factor (GCF) of 2912 and 2929 is 1.

GCF(2912,2929) = 1

We will now calculate the prime factors of 2912 and 2929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2912 and 2929.

How to find the GCF of 2912 and 2929?

We will first find the prime factorization of 2912 and 2929. After we will calculate the factors of 2912 and 2929 and find the biggest common factor number .

Step-1: Prime Factorization of 2912

Prime factors of 2912 are 2, 7, 13. Prime factorization of 2912 in exponential form is:

2912 = 2⁵ × 7¹ × 13¹

Step-2: Prime Factorization of 2929

Prime factors of 2929 are 29, 101. Prime factorization of 2929 in exponential form is:

2929 = 29¹ × 101¹

Step-3: Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456

Step-4: Factors of 2929

List of positive integer factors of 2929 that divides 2912 without a remainder.

1, 29, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2912 and 2929. The biggest common factor number is the GCF number.
So the greatest common factor 2912 and 2929 is 1.

Also check out the Least Common Multiple of 2912 and 2929