What is the Greatest Common Factor of 95090 and 95105?

Greatest common factor (GCF) of 95090 and 95105 is 5.

GCF(95090,95105) = 5

We will now calculate the prime factors of 95090 and 95105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95090 and 95105.

How to find the GCF of 95090 and 95105?

We will first find the prime factorization of 95090 and 95105. After we will calculate the factors of 95090 and 95105 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95105

Prime factors of 95105 are 5, 23, 827. Prime factorization of 95105 in exponential form is:

95105 = 5¹ × 23¹ × 827¹

Step-3: Factors of 95090

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

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

Step-4: Factors of 95105

List of positive integer factors of 95105 that divides 95090 without a remainder.

1, 5, 23, 115, 827, 4135, 19021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95090 and 95105. The biggest common factor number is the GCF number.
So the greatest common factor 95090 and 95105 is 5.

Also check out the Least Common Multiple of 95090 and 95105