What is the Greatest Common Factor of 95274 and 95292?

Greatest common factor (GCF) of 95274 and 95292 is 18.

GCF(95274,95292) = 18

We will now calculate the prime factors of 95274 and 95292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95274 and 95292.

How to find the GCF of 95274 and 95292?

We will first find the prime factorization of 95274 and 95292. After we will calculate the factors of 95274 and 95292 and find the biggest common factor number .

Step-1: Prime Factorization of 95274

Prime factors of 95274 are 2, 3, 67, 79. Prime factorization of 95274 in exponential form is:

95274 = 2¹ × 3² × 67¹ × 79¹

Step-2: Prime Factorization of 95292

Prime factors of 95292 are 2, 3, 2647. Prime factorization of 95292 in exponential form is:

95292 = 2² × 3² × 2647¹

Step-3: Factors of 95274

List of positive integer factors of 95274 that divides 95274 without a remainder.

1, 2, 3, 6, 9, 18, 67, 79, 134, 158, 201, 237, 402, 474, 603, 711, 1206, 1422, 5293, 10586, 15879, 31758, 47637

Step-4: Factors of 95292

List of positive integer factors of 95292 that divides 95274 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2647, 5294, 7941, 10588, 15882, 23823, 31764, 47646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95274 and 95292. The biggest common factor number is the GCF number.
So the greatest common factor 95274 and 95292 is 18.

Also check out the Least Common Multiple of 95274 and 95292