What is the Greatest Common Factor of 64932 and 64946?

Greatest common factor (GCF) of 64932 and 64946 is 14.

GCF(64932,64946) = 14

We will now calculate the prime factors of 64932 and 64946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64932 and 64946.

How to find the GCF of 64932 and 64946?

We will first find the prime factorization of 64932 and 64946. After we will calculate the factors of 64932 and 64946 and find the biggest common factor number .

Step-1: Prime Factorization of 64932

Prime factors of 64932 are 2, 3, 7, 773. Prime factorization of 64932 in exponential form is:

64932 = 2² × 3¹ × 7¹ × 773¹

Step-2: Prime Factorization of 64946

Prime factors of 64946 are 2, 7, 4639. Prime factorization of 64946 in exponential form is:

64946 = 2¹ × 7¹ × 4639¹

Step-3: Factors of 64932

List of positive integer factors of 64932 that divides 64932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 773, 1546, 2319, 3092, 4638, 5411, 9276, 10822, 16233, 21644, 32466

Step-4: Factors of 64946

List of positive integer factors of 64946 that divides 64932 without a remainder.

1, 2, 7, 14, 4639, 9278, 32473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64932 and 64946. The biggest common factor number is the GCF number.
So the greatest common factor 64932 and 64946 is 14.

Also check out the Least Common Multiple of 64932 and 64946