What is the Greatest Common Factor of 91021 and 91028?

Greatest common factor (GCF) of 91021 and 91028 is 7.

GCF(91021,91028) = 7

We will now calculate the prime factors of 91021 and 91028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91021 and 91028.

How to find the GCF of 91021 and 91028?

We will first find the prime factorization of 91021 and 91028. After we will calculate the factors of 91021 and 91028 and find the biggest common factor number .

Step-1: Prime Factorization of 91021

Prime factors of 91021 are 7, 13003. Prime factorization of 91021 in exponential form is:

91021 = 7¹ × 13003¹

Step-2: Prime Factorization of 91028

Prime factors of 91028 are 2, 7, 3251. Prime factorization of 91028 in exponential form is:

91028 = 2² × 7¹ × 3251¹

Step-3: Factors of 91021

List of positive integer factors of 91021 that divides 91021 without a remainder.

1, 7, 13003

Step-4: Factors of 91028

List of positive integer factors of 91028 that divides 91021 without a remainder.

1, 2, 4, 7, 14, 28, 3251, 6502, 13004, 22757, 45514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91021 and 91028. The biggest common factor number is the GCF number.
So the greatest common factor 91021 and 91028 is 7.

Also check out the Least Common Multiple of 91021 and 91028