What is the Greatest Common Factor of 64597 and 64610?

Greatest common factor (GCF) of 64597 and 64610 is 13.

GCF(64597,64610) = 13

We will now calculate the prime factors of 64597 and 64610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64597 and 64610.

How to find the GCF of 64597 and 64610?

We will first find the prime factorization of 64597 and 64610. After we will calculate the factors of 64597 and 64610 and find the biggest common factor number .

Step-1: Prime Factorization of 64597

Prime factors of 64597 are 13, 4969. Prime factorization of 64597 in exponential form is:

64597 = 13¹ × 4969¹

Step-2: Prime Factorization of 64610

Prime factors of 64610 are 2, 5, 7, 13, 71. Prime factorization of 64610 in exponential form is:

64610 = 2¹ × 5¹ × 7¹ × 13¹ × 71¹

Step-3: Factors of 64597

List of positive integer factors of 64597 that divides 64597 without a remainder.

1, 13, 4969

Step-4: Factors of 64610

List of positive integer factors of 64610 that divides 64597 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 71, 91, 130, 142, 182, 355, 455, 497, 710, 910, 923, 994, 1846, 2485, 4615, 4970, 6461, 9230, 12922, 32305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64597 and 64610. The biggest common factor number is the GCF number.
So the greatest common factor 64597 and 64610 is 13.

Also check out the Least Common Multiple of 64597 and 64610