What is the Greatest Common Factor of 64722 and 64731?

Greatest common factor (GCF) of 64722 and 64731 is 3.

GCF(64722,64731) = 3

We will now calculate the prime factors of 64722 and 64731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64722 and 64731.

How to find the GCF of 64722 and 64731?

We will first find the prime factorization of 64722 and 64731. After we will calculate the factors of 64722 and 64731 and find the biggest common factor number .

Step-1: Prime Factorization of 64722

Prime factors of 64722 are 2, 3, 7, 23, 67. Prime factorization of 64722 in exponential form is:

64722 = 2¹ × 3¹ × 7¹ × 23¹ × 67¹

Step-2: Prime Factorization of 64731

Prime factors of 64731 are 3, 21577. Prime factorization of 64731 in exponential form is:

64731 = 3¹ × 21577¹

Step-3: Factors of 64722

List of positive integer factors of 64722 that divides 64722 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 67, 69, 134, 138, 161, 201, 322, 402, 469, 483, 938, 966, 1407, 1541, 2814, 3082, 4623, 9246, 10787, 21574, 32361

Step-4: Factors of 64731

List of positive integer factors of 64731 that divides 64722 without a remainder.

1, 3, 21577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64722 and 64731. The biggest common factor number is the GCF number.
So the greatest common factor 64722 and 64731 is 3.

Also check out the Least Common Multiple of 64722 and 64731