What is the Greatest Common Factor of 95564 and 95572?

Greatest common factor (GCF) of 95564 and 95572 is 4.

GCF(95564,95572) = 4

We will now calculate the prime factors of 95564 and 95572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95564 and 95572.

How to find the GCF of 95564 and 95572?

We will first find the prime factorization of 95564 and 95572. After we will calculate the factors of 95564 and 95572 and find the biggest common factor number .

Step-1: Prime Factorization of 95564

Prime factors of 95564 are 2, 7, 3413. Prime factorization of 95564 in exponential form is:

95564 = 2² × 7¹ × 3413¹

Step-2: Prime Factorization of 95572

Prime factors of 95572 are 2, 23893. Prime factorization of 95572 in exponential form is:

95572 = 2² × 23893¹

Step-3: Factors of 95564

List of positive integer factors of 95564 that divides 95564 without a remainder.

1, 2, 4, 7, 14, 28, 3413, 6826, 13652, 23891, 47782

Step-4: Factors of 95572

List of positive integer factors of 95572 that divides 95564 without a remainder.

1, 2, 4, 23893, 47786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95564 and 95572. The biggest common factor number is the GCF number.
So the greatest common factor 95564 and 95572 is 4.

Also check out the Least Common Multiple of 95564 and 95572