What is the Greatest Common Factor of 95654 and 95667?

Greatest common factor (GCF) of 95654 and 95667 is 13.

GCF(95654,95667) = 13

We will now calculate the prime factors of 95654 and 95667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95654 and 95667.

How to find the GCF of 95654 and 95667?

We will first find the prime factorization of 95654 and 95667. After we will calculate the factors of 95654 and 95667 and find the biggest common factor number .

Step-1: Prime Factorization of 95654

Prime factors of 95654 are 2, 13, 283. Prime factorization of 95654 in exponential form is:

95654 = 2¹ × 13² × 283¹

Step-2: Prime Factorization of 95667

Prime factors of 95667 are 3, 11, 13, 223. Prime factorization of 95667 in exponential form is:

95667 = 3¹ × 11¹ × 13¹ × 223¹

Step-3: Factors of 95654

List of positive integer factors of 95654 that divides 95654 without a remainder.

1, 2, 13, 26, 169, 283, 338, 566, 3679, 7358, 47827

Step-4: Factors of 95667

List of positive integer factors of 95667 that divides 95654 without a remainder.

1, 3, 11, 13, 33, 39, 143, 223, 429, 669, 2453, 2899, 7359, 8697, 31889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95654 and 95667. The biggest common factor number is the GCF number.
So the greatest common factor 95654 and 95667 is 13.

Also check out the Least Common Multiple of 95654 and 95667