What is the Greatest Common Factor of 64870 and 64888?

Greatest common factor (GCF) of 64870 and 64888 is 2.

GCF(64870,64888) = 2

We will now calculate the prime factors of 64870 and 64888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64870 and 64888.

How to find the GCF of 64870 and 64888?

We will first find the prime factorization of 64870 and 64888. After we will calculate the factors of 64870 and 64888 and find the biggest common factor number .

Step-1: Prime Factorization of 64870

Prime factors of 64870 are 2, 5, 13, 499. Prime factorization of 64870 in exponential form is:

64870 = 2¹ × 5¹ × 13¹ × 499¹

Step-2: Prime Factorization of 64888

Prime factors of 64888 are 2, 8111. Prime factorization of 64888 in exponential form is:

64888 = 2³ × 8111¹

Step-3: Factors of 64870

List of positive integer factors of 64870 that divides 64870 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 499, 998, 2495, 4990, 6487, 12974, 32435

Step-4: Factors of 64888

List of positive integer factors of 64888 that divides 64870 without a remainder.

1, 2, 4, 8, 8111, 16222, 32444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64870 and 64888. The biggest common factor number is the GCF number.
So the greatest common factor 64870 and 64888 is 2.

Also check out the Least Common Multiple of 64870 and 64888