What is the Greatest Common Factor of 95627 and 95646?

Greatest common factor (GCF) of 95627 and 95646 is 19.

GCF(95627,95646) = 19

We will now calculate the prime factors of 95627 and 95646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95627 and 95646.

How to find the GCF of 95627 and 95646?

We will first find the prime factorization of 95627 and 95646. After we will calculate the factors of 95627 and 95646 and find the biggest common factor number .

Step-1: Prime Factorization of 95627

Prime factors of 95627 are 7, 19, 719. Prime factorization of 95627 in exponential form is:

95627 = 7¹ × 19¹ × 719¹

Step-2: Prime Factorization of 95646

Prime factors of 95646 are 2, 3, 19, 839. Prime factorization of 95646 in exponential form is:

95646 = 2¹ × 3¹ × 19¹ × 839¹

Step-3: Factors of 95627

List of positive integer factors of 95627 that divides 95627 without a remainder.

1, 7, 19, 133, 719, 5033, 13661

Step-4: Factors of 95646

List of positive integer factors of 95646 that divides 95627 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 839, 1678, 2517, 5034, 15941, 31882, 47823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95627 and 95646. The biggest common factor number is the GCF number.
So the greatest common factor 95627 and 95646 is 19.

Also check out the Least Common Multiple of 95627 and 95646