What is the Greatest Common Factor of 95072 and 95090?

Greatest common factor (GCF) of 95072 and 95090 is 2.

GCF(95072,95090) = 2

We will now calculate the prime factors of 95072 and 95090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95072 and 95090.

How to find the GCF of 95072 and 95090?

We will first find the prime factorization of 95072 and 95090. After we will calculate the factors of 95072 and 95090 and find the biggest common factor number .

Step-1: Prime Factorization of 95072

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

95072 = 2⁵ × 2971¹

Step-2: Prime Factorization of 95090

Prime factors of 95090 are 2, 5, 37, 257. Prime factorization of 95090 in exponential form is:

95090 = 2¹ × 5¹ × 37¹ × 257¹

Step-3: Factors of 95072

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

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

Step-4: Factors of 95090

List of positive integer factors of 95090 that divides 95072 without a remainder.

1, 2, 5, 10, 37, 74, 185, 257, 370, 514, 1285, 2570, 9509, 19018, 47545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95072 and 95090. The biggest common factor number is the GCF number.
So the greatest common factor 95072 and 95090 is 2.

Also check out the Least Common Multiple of 95072 and 95090