What is the Greatest Common Factor of 77028 and 77042?

Greatest common factor (GCF) of 77028 and 77042 is 14.

GCF(77028,77042) = 14

We will now calculate the prime factors of 77028 and 77042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77028 and 77042.

How to find the GCF of 77028 and 77042?

We will first find the prime factorization of 77028 and 77042. After we will calculate the factors of 77028 and 77042 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 77042

Prime factors of 77042 are 2, 7, 5503. Prime factorization of 77042 in exponential form is:

77042 = 2¹ × 7¹ × 5503¹

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 77042

List of positive integer factors of 77042 that divides 77028 without a remainder.

1, 2, 7, 14, 5503, 11006, 38521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77028 and 77042. The biggest common factor number is the GCF number.
So the greatest common factor 77028 and 77042 is 14.

Also check out the Least Common Multiple of 77028 and 77042