What is the Greatest Common Factor of 95624 and 95628?

Greatest common factor (GCF) of 95624 and 95628 is 4.

GCF(95624,95628) = 4

We will now calculate the prime factors of 95624 and 95628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95624 and 95628.

How to find the GCF of 95624 and 95628?

We will first find the prime factorization of 95624 and 95628. After we will calculate the factors of 95624 and 95628 and find the biggest common factor number .

Step-1: Prime Factorization of 95624

Prime factors of 95624 are 2, 11953. Prime factorization of 95624 in exponential form is:

95624 = 2³ × 11953¹

Step-2: Prime Factorization of 95628

Prime factors of 95628 are 2, 3, 13, 613. Prime factorization of 95628 in exponential form is:

95628 = 2² × 3¹ × 13¹ × 613¹

Step-3: Factors of 95624

List of positive integer factors of 95624 that divides 95624 without a remainder.

1, 2, 4, 8, 11953, 23906, 47812

Step-4: Factors of 95628

List of positive integer factors of 95628 that divides 95624 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 613, 1226, 1839, 2452, 3678, 7356, 7969, 15938, 23907, 31876, 47814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95624 and 95628. The biggest common factor number is the GCF number.
So the greatest common factor 95624 and 95628 is 4.

Also check out the Least Common Multiple of 95624 and 95628