What is the Greatest Common Factor of 94992 and 95007?

Greatest common factor (GCF) of 94992 and 95007 is 3.

GCF(94992,95007) = 3

We will now calculate the prime factors of 94992 and 95007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94992 and 95007.

How to find the GCF of 94992 and 95007?

We will first find the prime factorization of 94992 and 95007. After we will calculate the factors of 94992 and 95007 and find the biggest common factor number .

Step-1: Prime Factorization of 94992

Prime factors of 94992 are 2, 3, 1979. Prime factorization of 94992 in exponential form is:

94992 = 2⁴ × 3¹ × 1979¹

Step-2: Prime Factorization of 95007

Prime factors of 95007 are 3, 11, 2879. Prime factorization of 95007 in exponential form is:

95007 = 3¹ × 11¹ × 2879¹

Step-3: Factors of 94992

List of positive integer factors of 94992 that divides 94992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1979, 3958, 5937, 7916, 11874, 15832, 23748, 31664, 47496

Step-4: Factors of 95007

List of positive integer factors of 95007 that divides 94992 without a remainder.

1, 3, 11, 33, 2879, 8637, 31669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94992 and 95007. The biggest common factor number is the GCF number.
So the greatest common factor 94992 and 95007 is 3.

Also check out the Least Common Multiple of 94992 and 95007