What is the Greatest Common Factor of 95349 and 95361?

Greatest common factor (GCF) of 95349 and 95361 is 3.

GCF(95349,95361) = 3

We will now calculate the prime factors of 95349 and 95361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95349 and 95361.

How to find the GCF of 95349 and 95361?

We will first find the prime factorization of 95349 and 95361. After we will calculate the factors of 95349 and 95361 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 95361

Prime factors of 95361 are 3, 7, 19, 239. Prime factorization of 95361 in exponential form is:

95361 = 3¹ × 7¹ × 19¹ × 239¹

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 95361

List of positive integer factors of 95361 that divides 95349 without a remainder.

1, 3, 7, 19, 21, 57, 133, 239, 399, 717, 1673, 4541, 5019, 13623, 31787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95349 and 95361. The biggest common factor number is the GCF number.
So the greatest common factor 95349 and 95361 is 3.

Also check out the Least Common Multiple of 95349 and 95361