What is the Greatest Common Factor of 91077 and 91084?

Greatest common factor (GCF) of 91077 and 91084 is 7.

GCF(91077,91084) = 7

We will now calculate the prime factors of 91077 and 91084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91077 and 91084.

How to find the GCF of 91077 and 91084?

We will first find the prime factorization of 91077 and 91084. After we will calculate the factors of 91077 and 91084 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 91084

Prime factors of 91084 are 2, 7, 3253. Prime factorization of 91084 in exponential form is:

91084 = 2² × 7¹ × 3253¹

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 91084

List of positive integer factors of 91084 that divides 91077 without a remainder.

1, 2, 4, 7, 14, 28, 3253, 6506, 13012, 22771, 45542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91077 and 91084. The biggest common factor number is the GCF number.
So the greatest common factor 91077 and 91084 is 7.

Also check out the Least Common Multiple of 91077 and 91084