What is the Greatest Common Factor of 95080 and 95090?

Greatest common factor (GCF) of 95080 and 95090 is 10.

GCF(95080,95090) = 10

We will now calculate the prime factors of 95080 and 95090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95080 and 95090.

How to find the GCF of 95080 and 95090?

We will first find the prime factorization of 95080 and 95090. After we will calculate the factors of 95080 and 95090 and find the biggest common factor number .

Step-1: Prime Factorization of 95080

Prime factors of 95080 are 2, 5, 2377. Prime factorization of 95080 in exponential form is:

95080 = 2³ × 5¹ × 2377¹

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 95080

List of positive integer factors of 95080 that divides 95080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2377, 4754, 9508, 11885, 19016, 23770, 47540

Step-4: Factors of 95090

List of positive integer factors of 95090 that divides 95080 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 95080 and 95090. The biggest common factor number is the GCF number.
So the greatest common factor 95080 and 95090 is 10.

Also check out the Least Common Multiple of 95080 and 95090