What is the Greatest Common Factor of 95349 and 95364?

Greatest common factor (GCF) of 95349 and 95364 is 3.

GCF(95349,95364) = 3

We will now calculate the prime factors of 95349 and 95364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95349 and 95364.

How to find the GCF of 95349 and 95364?

We will first find the prime factorization of 95349 and 95364. After we will calculate the factors of 95349 and 95364 and find the biggest common factor number .

Step-1: Prime Factorization of 95349

Prime factors of 95349 are 3, 37, 859. Prime factorization of 95349 in exponential form is:

95349 = 3¹ × 37¹ × 859¹

Step-2: Prime Factorization of 95364

Prime factors of 95364 are 2, 3, 883. Prime factorization of 95364 in exponential form is:

95364 = 2² × 3³ × 883¹

Step-3: Factors of 95349

List of positive integer factors of 95349 that divides 95349 without a remainder.

1, 3, 37, 111, 859, 2577, 31783

Step-4: Factors of 95364

List of positive integer factors of 95364 that divides 95349 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 883, 1766, 2649, 3532, 5298, 7947, 10596, 15894, 23841, 31788, 47682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95349 and 95364. The biggest common factor number is the GCF number.
So the greatest common factor 95349 and 95364 is 3.

Also check out the Least Common Multiple of 95349 and 95364