What is the Greatest Common Factor of 64842 and 64857?

Greatest common factor (GCF) of 64842 and 64857 is 3.

GCF(64842,64857) = 3

We will now calculate the prime factors of 64842 and 64857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64842 and 64857.

How to find the GCF of 64842 and 64857?

We will first find the prime factorization of 64842 and 64857. After we will calculate the factors of 64842 and 64857 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 64857

Prime factors of 64857 are 3, 13, 1663. Prime factorization of 64857 in exponential form is:

64857 = 3¹ × 13¹ × 1663¹

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 64857

List of positive integer factors of 64857 that divides 64842 without a remainder.

1, 3, 13, 39, 1663, 4989, 21619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64842 and 64857. The biggest common factor number is the GCF number.
So the greatest common factor 64842 and 64857 is 3.

Also check out the Least Common Multiple of 64842 and 64857