What is the Greatest Common Factor of 95070 and 95090?

Greatest common factor (GCF) of 95070 and 95090 is 10.

GCF(95070,95090) = 10

We will now calculate the prime factors of 95070 and 95090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95070 and 95090.

How to find the GCF of 95070 and 95090?

We will first find the prime factorization of 95070 and 95090. After we will calculate the factors of 95070 and 95090 and find the biggest common factor number .

Step-1: Prime Factorization of 95070

Prime factors of 95070 are 2, 3, 5, 3169. Prime factorization of 95070 in exponential form is:

95070 = 2¹ × 3¹ × 5¹ × 3169¹

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 95070

List of positive integer factors of 95070 that divides 95070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3169, 6338, 9507, 15845, 19014, 31690, 47535

Step-4: Factors of 95090

List of positive integer factors of 95090 that divides 95070 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 95070 and 95090. The biggest common factor number is the GCF number.
So the greatest common factor 95070 and 95090 is 10.

Also check out the Least Common Multiple of 95070 and 95090