What is the Greatest Common Factor of 64722 and 64734?

Greatest common factor (GCF) of 64722 and 64734 is 6.

GCF(64722,64734) = 6

We will now calculate the prime factors of 64722 and 64734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64722 and 64734.

How to find the GCF of 64722 and 64734?

We will first find the prime factorization of 64722 and 64734. After we will calculate the factors of 64722 and 64734 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 64734

Prime factors of 64734 are 2, 3, 10789. Prime factorization of 64734 in exponential form is:

64734 = 2¹ × 3¹ × 10789¹

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 64734

List of positive integer factors of 64734 that divides 64722 without a remainder.

1, 2, 3, 6, 10789, 21578, 32367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64722 and 64734. The biggest common factor number is the GCF number.
So the greatest common factor 64722 and 64734 is 6.

Also check out the Least Common Multiple of 64722 and 64734