What is the Greatest Common Factor of 77028 and 77035?

Greatest common factor (GCF) of 77028 and 77035 is 7.

GCF(77028,77035) = 7

We will now calculate the prime factors of 77028 and 77035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77028 and 77035.

How to find the GCF of 77028 and 77035?

We will first find the prime factorization of 77028 and 77035. After we will calculate the factors of 77028 and 77035 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 77035

Prime factors of 77035 are 5, 7, 31, 71. Prime factorization of 77035 in exponential form is:

77035 = 5¹ × 7¹ × 31¹ × 71¹

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 77035

List of positive integer factors of 77035 that divides 77028 without a remainder.

1, 5, 7, 31, 35, 71, 155, 217, 355, 497, 1085, 2201, 2485, 11005, 15407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77028 and 77035. The biggest common factor number is the GCF number.
So the greatest common factor 77028 and 77035 is 7.

Also check out the Least Common Multiple of 77028 and 77035