What is the Greatest Common Factor of 62856 and 62868?

Greatest common factor (GCF) of 62856 and 62868 is 12.

GCF(62856,62868) = 12

We will now calculate the prime factors of 62856 and 62868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62856 and 62868.

How to find the GCF of 62856 and 62868?

We will first find the prime factorization of 62856 and 62868. After we will calculate the factors of 62856 and 62868 and find the biggest common factor number .

Step-1: Prime Factorization of 62856

Prime factors of 62856 are 2, 3, 97. Prime factorization of 62856 in exponential form is:

62856 = 2³ × 3⁴ × 97¹

Step-2: Prime Factorization of 62868

Prime factors of 62868 are 2, 3, 13, 31. Prime factorization of 62868 in exponential form is:

62868 = 2² × 3¹ × 13² × 31¹

Step-3: Factors of 62856

List of positive integer factors of 62856 that divides 62856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 97, 108, 162, 194, 216, 291, 324, 388, 582, 648, 776, 873, 1164, 1746, 2328, 2619, 3492, 5238, 6984, 7857, 10476, 15714, 20952, 31428

Step-4: Factors of 62868

List of positive integer factors of 62868 that divides 62856 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 169, 186, 338, 372, 403, 507, 676, 806, 1014, 1209, 1612, 2028, 2418, 4836, 5239, 10478, 15717, 20956, 31434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62856 and 62868. The biggest common factor number is the GCF number.
So the greatest common factor 62856 and 62868 is 12.

Also check out the Least Common Multiple of 62856 and 62868