What is the Greatest Common Factor of 64872 and 64876?

Greatest common factor (GCF) of 64872 and 64876 is 4.

GCF(64872,64876) = 4

We will now calculate the prime factors of 64872 and 64876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64872 and 64876.

How to find the GCF of 64872 and 64876?

We will first find the prime factorization of 64872 and 64876. After we will calculate the factors of 64872 and 64876 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 64876

Prime factors of 64876 are 2, 7, 331. Prime factorization of 64876 in exponential form is:

64876 = 2² × 7² × 331¹

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 64876

List of positive integer factors of 64876 that divides 64872 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 331, 662, 1324, 2317, 4634, 9268, 16219, 32438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64872 and 64876. The biggest common factor number is the GCF number.
So the greatest common factor 64872 and 64876 is 4.

Also check out the Least Common Multiple of 64872 and 64876