What is the Greatest Common Factor of 91077 and 91092?

Greatest common factor (GCF) of 91077 and 91092 is 3.

GCF(91077,91092) = 3

We will now calculate the prime factors of 91077 and 91092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91077 and 91092.

How to find the GCF of 91077 and 91092?

We will first find the prime factorization of 91077 and 91092. After we will calculate the factors of 91077 and 91092 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91092

Prime factors of 91092 are 2, 3, 7591. Prime factorization of 91092 in exponential form is:

91092 = 2² × 3¹ × 7591¹

Step-3: Factors of 91077

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

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

Step-4: Factors of 91092

List of positive integer factors of 91092 that divides 91077 without a remainder.

1, 2, 3, 4, 6, 12, 7591, 15182, 22773, 30364, 45546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91077 and 91092. The biggest common factor number is the GCF number.
So the greatest common factor 91077 and 91092 is 3.

Also check out the Least Common Multiple of 91077 and 91092