What is the Greatest Common Factor of 62856 and 62876?

Greatest common factor (GCF) of 62856 and 62876 is 4.

GCF(62856,62876) = 4

We will now calculate the prime factors of 62856 and 62876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62856 and 62876.

How to find the GCF of 62856 and 62876?

We will first find the prime factorization of 62856 and 62876. After we will calculate the factors of 62856 and 62876 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 62876

Prime factors of 62876 are 2, 11, 1429. Prime factorization of 62876 in exponential form is:

62876 = 2² × 11¹ × 1429¹

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 62876

List of positive integer factors of 62876 that divides 62856 without a remainder.

1, 2, 4, 11, 22, 44, 1429, 2858, 5716, 15719, 31438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62856 and 62876. The biggest common factor number is the GCF number.
So the greatest common factor 62856 and 62876 is 4.

Also check out the Least Common Multiple of 62856 and 62876