What is the Greatest Common Factor of 64690 and 64710?

Greatest common factor (GCF) of 64690 and 64710 is 10.

GCF(64690,64710) = 10

We will now calculate the prime factors of 64690 and 64710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64690 and 64710.

How to find the GCF of 64690 and 64710?

We will first find the prime factorization of 64690 and 64710. After we will calculate the factors of 64690 and 64710 and find the biggest common factor number .

Step-1: Prime Factorization of 64690

Prime factors of 64690 are 2, 5, 6469. Prime factorization of 64690 in exponential form is:

64690 = 2¹ × 5¹ × 6469¹

Step-2: Prime Factorization of 64710

Prime factors of 64710 are 2, 3, 5, 719. Prime factorization of 64710 in exponential form is:

64710 = 2¹ × 3² × 5¹ × 719¹

Step-3: Factors of 64690

List of positive integer factors of 64690 that divides 64690 without a remainder.

1, 2, 5, 10, 6469, 12938, 32345

Step-4: Factors of 64710

List of positive integer factors of 64710 that divides 64690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 719, 1438, 2157, 3595, 4314, 6471, 7190, 10785, 12942, 21570, 32355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64690 and 64710. The biggest common factor number is the GCF number.
So the greatest common factor 64690 and 64710 is 10.

Also check out the Least Common Multiple of 64690 and 64710