What is the Greatest Common Factor of 77028 and 77036?

Greatest common factor (GCF) of 77028 and 77036 is 4.

GCF(77028,77036) = 4

We will now calculate the prime factors of 77028 and 77036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77028 and 77036.

How to find the GCF of 77028 and 77036?

We will first find the prime factorization of 77028 and 77036. After we will calculate the factors of 77028 and 77036 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77036

Prime factors of 77036 are 2, 19259. Prime factorization of 77036 in exponential form is:

77036 = 2² × 19259¹

Step-3: Factors of 77028

List of positive integer factors of 77028 that divides 77028 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

Step-4: Factors of 77036

List of positive integer factors of 77036 that divides 77028 without a remainder.

1, 2, 4, 19259, 38518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77028 and 77036. The biggest common factor number is the GCF number.
So the greatest common factor 77028 and 77036 is 4.

Also check out the Least Common Multiple of 77028 and 77036