What is the Greatest Common Factor of 64842 and 64858?

Greatest common factor (GCF) of 64842 and 64858 is 2.

GCF(64842,64858) = 2

We will now calculate the prime factors of 64842 and 64858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64842 and 64858.

How to find the GCF of 64842 and 64858?

We will first find the prime factorization of 64842 and 64858. After we will calculate the factors of 64842 and 64858 and find the biggest common factor number .

Step-1: Prime Factorization of 64842

Prime factors of 64842 are 2, 3, 101, 107. Prime factorization of 64842 in exponential form is:

64842 = 2¹ × 3¹ × 101¹ × 107¹

Step-2: Prime Factorization of 64858

Prime factors of 64858 are 2, 32429. Prime factorization of 64858 in exponential form is:

64858 = 2¹ × 32429¹

Step-3: Factors of 64842

List of positive integer factors of 64842 that divides 64842 without a remainder.

1, 2, 3, 6, 101, 107, 202, 214, 303, 321, 606, 642, 10807, 21614, 32421

Step-4: Factors of 64858

List of positive integer factors of 64858 that divides 64842 without a remainder.

1, 2, 32429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64842 and 64858. The biggest common factor number is the GCF number.
So the greatest common factor 64842 and 64858 is 2.

Also check out the Least Common Multiple of 64842 and 64858