What is the Greatest Common Factor of 77021 and 77028?

Greatest common factor (GCF) of 77021 and 77028 is 7.

GCF(77021,77028) = 7

We will now calculate the prime factors of 77021 and 77028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77021 and 77028.

How to find the GCF of 77021 and 77028?

We will first find the prime factorization of 77021 and 77028. After we will calculate the factors of 77021 and 77028 and find the biggest common factor number .

Step-1: Prime Factorization of 77021

Prime factors of 77021 are 7, 11003. Prime factorization of 77021 in exponential form is:

77021 = 7¹ × 11003¹

Step-2: Prime Factorization of 77028

Prime factors of 77028 are 2, 3, 7, 131. Prime factorization of 77028 in exponential form is:

77028 = 2² × 3¹ × 7² × 131¹

Step-3: Factors of 77021

List of positive integer factors of 77021 that divides 77021 without a remainder.

1, 7, 11003

Step-4: Factors of 77028

List of positive integer factors of 77028 that divides 77021 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 131, 147, 196, 262, 294, 393, 524, 588, 786, 917, 1572, 1834, 2751, 3668, 5502, 6419, 11004, 12838, 19257, 25676, 38514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77021 and 77028. The biggest common factor number is the GCF number.
So the greatest common factor 77021 and 77028 is 7.

Also check out the Least Common Multiple of 77021 and 77028