What is the Greatest Common Factor of 64872 and 64882?

Greatest common factor (GCF) of 64872 and 64882 is 2.

GCF(64872,64882) = 2

We will now calculate the prime factors of 64872 and 64882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64872 and 64882.

How to find the GCF of 64872 and 64882?

We will first find the prime factorization of 64872 and 64882. After we will calculate the factors of 64872 and 64882 and find the biggest common factor number .

Step-1: Prime Factorization of 64872

Prime factors of 64872 are 2, 3, 17, 53. Prime factorization of 64872 in exponential form is:

64872 = 2³ × 3² × 17¹ × 53¹

Step-2: Prime Factorization of 64882

Prime factors of 64882 are 2, 32441. Prime factorization of 64882 in exponential form is:

64882 = 2¹ × 32441¹

Step-3: Factors of 64872

List of positive integer factors of 64872 that divides 64872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 53, 68, 72, 102, 106, 136, 153, 159, 204, 212, 306, 318, 408, 424, 477, 612, 636, 901, 954, 1224, 1272, 1802, 1908, 2703, 3604, 3816, 5406, 7208, 8109, 10812, 16218, 21624, 32436

Step-4: Factors of 64882

List of positive integer factors of 64882 that divides 64872 without a remainder.

1, 2, 32441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64872 and 64882. The biggest common factor number is the GCF number.
So the greatest common factor 64872 and 64882 is 2.

Also check out the Least Common Multiple of 64872 and 64882