What is the Greatest Common Factor of 64842 and 64856?

Greatest common factor (GCF) of 64842 and 64856 is 2.

GCF(64842,64856) = 2

We will now calculate the prime factors of 64842 and 64856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64842 and 64856.

How to find the GCF of 64842 and 64856?

We will first find the prime factorization of 64842 and 64856. After we will calculate the factors of 64842 and 64856 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 64856

Prime factors of 64856 are 2, 11, 67. Prime factorization of 64856 in exponential form is:

64856 = 2³ × 11² × 67¹

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 64856

List of positive integer factors of 64856 that divides 64842 without a remainder.

1, 2, 4, 8, 11, 22, 44, 67, 88, 121, 134, 242, 268, 484, 536, 737, 968, 1474, 2948, 5896, 8107, 16214, 32428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64842 and 64856. The biggest common factor number is the GCF number.
So the greatest common factor 64842 and 64856 is 2.

Also check out the Least Common Multiple of 64842 and 64856