What is the Greatest Common Factor of 94968 and 94988?

Greatest common factor (GCF) of 94968 and 94988 is 4.

GCF(94968,94988) = 4

We will now calculate the prime factors of 94968 and 94988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94968 and 94988.

How to find the GCF of 94968 and 94988?

We will first find the prime factorization of 94968 and 94988. After we will calculate the factors of 94968 and 94988 and find the biggest common factor number .

Step-1: Prime Factorization of 94968

Prime factors of 94968 are 2, 3, 1319. Prime factorization of 94968 in exponential form is:

94968 = 2³ × 3² × 1319¹

Step-2: Prime Factorization of 94988

Prime factors of 94988 are 2, 23747. Prime factorization of 94988 in exponential form is:

94988 = 2² × 23747¹

Step-3: Factors of 94968

List of positive integer factors of 94968 that divides 94968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1319, 2638, 3957, 5276, 7914, 10552, 11871, 15828, 23742, 31656, 47484

Step-4: Factors of 94988

List of positive integer factors of 94988 that divides 94968 without a remainder.

1, 2, 4, 23747, 47494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94968 and 94988. The biggest common factor number is the GCF number.
So the greatest common factor 94968 and 94988 is 4.

Also check out the Least Common Multiple of 94968 and 94988