What is the Greatest Common Factor of 91068 and 91077?

Greatest common factor (GCF) of 91068 and 91077 is 3.

GCF(91068,91077) = 3

We will now calculate the prime factors of 91068 and 91077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91068 and 91077.

How to find the GCF of 91068 and 91077?

We will first find the prime factorization of 91068 and 91077. After we will calculate the factors of 91068 and 91077 and find the biggest common factor number .

Step-1: Prime Factorization of 91068

Prime factors of 91068 are 2, 3, 7589. Prime factorization of 91068 in exponential form is:

91068 = 2² × 3¹ × 7589¹

Step-2: Prime Factorization of 91077

Prime factors of 91077 are 3, 7, 4337. Prime factorization of 91077 in exponential form is:

91077 = 3¹ × 7¹ × 4337¹

Step-3: Factors of 91068

List of positive integer factors of 91068 that divides 91068 without a remainder.

1, 2, 3, 4, 6, 12, 7589, 15178, 22767, 30356, 45534

Step-4: Factors of 91077

List of positive integer factors of 91077 that divides 91068 without a remainder.

1, 3, 7, 21, 4337, 13011, 30359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91068 and 91077. The biggest common factor number is the GCF number.
So the greatest common factor 91068 and 91077 is 3.

Also check out the Least Common Multiple of 91068 and 91077