What is the Greatest Common Factor of 91242 and 91251?

Greatest common factor (GCF) of 91242 and 91251 is 9.

GCF(91242,91251) = 9

We will now calculate the prime factors of 91242 and 91251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91242 and 91251.

How to find the GCF of 91242 and 91251?

We will first find the prime factorization of 91242 and 91251. After we will calculate the factors of 91242 and 91251 and find the biggest common factor number .

Step-1: Prime Factorization of 91242

Prime factors of 91242 are 2, 3, 37, 137. Prime factorization of 91242 in exponential form is:

91242 = 2¹ × 3² × 37¹ × 137¹

Step-2: Prime Factorization of 91251

Prime factors of 91251 are 3, 10139. Prime factorization of 91251 in exponential form is:

91251 = 3² × 10139¹

Step-3: Factors of 91242

List of positive integer factors of 91242 that divides 91242 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 137, 222, 274, 333, 411, 666, 822, 1233, 2466, 5069, 10138, 15207, 30414, 45621

Step-4: Factors of 91251

List of positive integer factors of 91251 that divides 91242 without a remainder.

1, 3, 9, 10139, 30417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91242 and 91251. The biggest common factor number is the GCF number.
So the greatest common factor 91242 and 91251 is 9.

Also check out the Least Common Multiple of 91242 and 91251