What is the Greatest Common Factor of 59868 and 59872?

Greatest common factor (GCF) of 59868 and 59872 is 4.

GCF(59868,59872) = 4

We will now calculate the prime factors of 59868 and 59872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59868 and 59872.

How to find the GCF of 59868 and 59872?

We will first find the prime factorization of 59868 and 59872. After we will calculate the factors of 59868 and 59872 and find the biggest common factor number .

Step-1: Prime Factorization of 59868

Prime factors of 59868 are 2, 3, 1663. Prime factorization of 59868 in exponential form is:

59868 = 2² × 3² × 1663¹

Step-2: Prime Factorization of 59872

Prime factors of 59872 are 2, 1871. Prime factorization of 59872 in exponential form is:

59872 = 2⁵ × 1871¹

Step-3: Factors of 59868

List of positive integer factors of 59868 that divides 59868 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1663, 3326, 4989, 6652, 9978, 14967, 19956, 29934

Step-4: Factors of 59872

List of positive integer factors of 59872 that divides 59868 without a remainder.

1, 2, 4, 8, 16, 32, 1871, 3742, 7484, 14968, 29936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59868 and 59872. The biggest common factor number is the GCF number.
So the greatest common factor 59868 and 59872 is 4.

Also check out the Least Common Multiple of 59868 and 59872