What is the Greatest Common Factor of 59856 and 59876?

Greatest common factor (GCF) of 59856 and 59876 is 4.

GCF(59856,59876) = 4

We will now calculate the prime factors of 59856 and 59876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59856 and 59876.

How to find the GCF of 59856 and 59876?

We will first find the prime factorization of 59856 and 59876. After we will calculate the factors of 59856 and 59876 and find the biggest common factor number .

Step-1: Prime Factorization of 59856

Prime factors of 59856 are 2, 3, 29, 43. Prime factorization of 59856 in exponential form is:

59856 = 2⁴ × 3¹ × 29¹ × 43¹

Step-2: Prime Factorization of 59876

Prime factors of 59876 are 2, 14969. Prime factorization of 59876 in exponential form is:

59876 = 2² × 14969¹

Step-3: Factors of 59856

List of positive integer factors of 59856 that divides 59856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 43, 48, 58, 86, 87, 116, 129, 172, 174, 232, 258, 344, 348, 464, 516, 688, 696, 1032, 1247, 1392, 2064, 2494, 3741, 4988, 7482, 9976, 14964, 19952, 29928

Step-4: Factors of 59876

List of positive integer factors of 59876 that divides 59856 without a remainder.

1, 2, 4, 14969, 29938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59856 and 59876. The biggest common factor number is the GCF number.
So the greatest common factor 59856 and 59876 is 4.

Also check out the Least Common Multiple of 59856 and 59876