What is the Greatest Common Factor of 64958 and 64970?

Greatest common factor (GCF) of 64958 and 64970 is 2.

GCF(64958,64970) = 2

We will now calculate the prime factors of 64958 and 64970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64958 and 64970.

How to find the GCF of 64958 and 64970?

We will first find the prime factorization of 64958 and 64970. After we will calculate the factors of 64958 and 64970 and find the biggest common factor number .

Step-1: Prime Factorization of 64958

Prime factors of 64958 are 2, 32479. Prime factorization of 64958 in exponential form is:

64958 = 2¹ × 32479¹

Step-2: Prime Factorization of 64970

Prime factors of 64970 are 2, 5, 73, 89. Prime factorization of 64970 in exponential form is:

64970 = 2¹ × 5¹ × 73¹ × 89¹

Step-3: Factors of 64958

List of positive integer factors of 64958 that divides 64958 without a remainder.

1, 2, 32479

Step-4: Factors of 64970

List of positive integer factors of 64970 that divides 64958 without a remainder.

1, 2, 5, 10, 73, 89, 146, 178, 365, 445, 730, 890, 6497, 12994, 32485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64958 and 64970. The biggest common factor number is the GCF number.
So the greatest common factor 64958 and 64970 is 2.

Also check out the Least Common Multiple of 64958 and 64970