What is the Greatest Common Factor of 64914 and 64929?

Greatest common factor (GCF) of 64914 and 64929 is 3.

GCF(64914,64929) = 3

We will now calculate the prime factors of 64914 and 64929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64914 and 64929.

How to find the GCF of 64914 and 64929?

We will first find the prime factorization of 64914 and 64929. After we will calculate the factors of 64914 and 64929 and find the biggest common factor number .

Step-1: Prime Factorization of 64914

Prime factors of 64914 are 2, 3, 31, 349. Prime factorization of 64914 in exponential form is:

64914 = 2¹ × 3¹ × 31¹ × 349¹

Step-2: Prime Factorization of 64929

Prime factors of 64929 are 3, 23, 941. Prime factorization of 64929 in exponential form is:

64929 = 3¹ × 23¹ × 941¹

Step-3: Factors of 64914

List of positive integer factors of 64914 that divides 64914 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 349, 698, 1047, 2094, 10819, 21638, 32457

Step-4: Factors of 64929

List of positive integer factors of 64929 that divides 64914 without a remainder.

1, 3, 23, 69, 941, 2823, 21643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64914 and 64929. The biggest common factor number is the GCF number.
So the greatest common factor 64914 and 64929 is 3.

Also check out the Least Common Multiple of 64914 and 64929