What is the Greatest Common Factor of 95478 and 95484?

Greatest common factor (GCF) of 95478 and 95484 is 6.

GCF(95478,95484) = 6

We will now calculate the prime factors of 95478 and 95484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95478 and 95484.

How to find the GCF of 95478 and 95484?

We will first find the prime factorization of 95478 and 95484. After we will calculate the factors of 95478 and 95484 and find the biggest common factor number .

Step-1: Prime Factorization of 95478

Prime factors of 95478 are 2, 3, 15913. Prime factorization of 95478 in exponential form is:

95478 = 2¹ × 3¹ × 15913¹

Step-2: Prime Factorization of 95484

Prime factors of 95484 are 2, 3, 73, 109. Prime factorization of 95484 in exponential form is:

95484 = 2² × 3¹ × 73¹ × 109¹

Step-3: Factors of 95478

List of positive integer factors of 95478 that divides 95478 without a remainder.

1, 2, 3, 6, 15913, 31826, 47739

Step-4: Factors of 95484

List of positive integer factors of 95484 that divides 95478 without a remainder.

1, 2, 3, 4, 6, 12, 73, 109, 146, 218, 219, 292, 327, 436, 438, 654, 876, 1308, 7957, 15914, 23871, 31828, 47742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95478 and 95484. The biggest common factor number is the GCF number.
So the greatest common factor 95478 and 95484 is 6.

Also check out the Least Common Multiple of 95478 and 95484