What is the Greatest Common Factor of 95056 and 95072?

Greatest common factor (GCF) of 95056 and 95072 is 16.

GCF(95056,95072) = 16

We will now calculate the prime factors of 95056 and 95072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95056 and 95072.

How to find the GCF of 95056 and 95072?

We will first find the prime factorization of 95056 and 95072. After we will calculate the factors of 95056 and 95072 and find the biggest common factor number .

Step-1: Prime Factorization of 95056

Prime factors of 95056 are 2, 13, 457. Prime factorization of 95056 in exponential form is:

95056 = 2⁴ × 13¹ × 457¹

Step-2: Prime Factorization of 95072

Prime factors of 95072 are 2, 2971. Prime factorization of 95072 in exponential form is:

95072 = 2⁵ × 2971¹

Step-3: Factors of 95056

List of positive integer factors of 95056 that divides 95056 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 457, 914, 1828, 3656, 5941, 7312, 11882, 23764, 47528

Step-4: Factors of 95072

List of positive integer factors of 95072 that divides 95056 without a remainder.

1, 2, 4, 8, 16, 32, 2971, 5942, 11884, 23768, 47536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95056 and 95072. The biggest common factor number is the GCF number.
So the greatest common factor 95056 and 95072 is 16.

Also check out the Least Common Multiple of 95056 and 95072