What is the Greatest Common Factor of 77028 and 77037?

Greatest common factor (GCF) of 77028 and 77037 is 3.

GCF(77028,77037) = 3

We will now calculate the prime factors of 77028 and 77037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77028 and 77037.

How to find the GCF of 77028 and 77037?

We will first find the prime factorization of 77028 and 77037. After we will calculate the factors of 77028 and 77037 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 77037

Prime factors of 77037 are 3, 25679. Prime factorization of 77037 in exponential form is:

77037 = 3¹ × 25679¹

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 77037

List of positive integer factors of 77037 that divides 77028 without a remainder.

1, 3, 25679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77028 and 77037. The biggest common factor number is the GCF number.
So the greatest common factor 77028 and 77037 is 3.

Also check out the Least Common Multiple of 77028 and 77037