What is the Greatest Common Factor of 76930 and 76937?

Greatest common factor (GCF) of 76930 and 76937 is 7.

GCF(76930,76937) = 7

We will now calculate the prime factors of 76930 and 76937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76930 and 76937.

How to find the GCF of 76930 and 76937?

We will first find the prime factorization of 76930 and 76937. After we will calculate the factors of 76930 and 76937 and find the biggest common factor number .

Step-1: Prime Factorization of 76930

Prime factors of 76930 are 2, 5, 7, 157. Prime factorization of 76930 in exponential form is:

76930 = 2¹ × 5¹ × 7² × 157¹

Step-2: Prime Factorization of 76937

Prime factors of 76937 are 7, 29, 379. Prime factorization of 76937 in exponential form is:

76937 = 7¹ × 29¹ × 379¹

Step-3: Factors of 76930

List of positive integer factors of 76930 that divides 76930 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 157, 245, 314, 490, 785, 1099, 1570, 2198, 5495, 7693, 10990, 15386, 38465

Step-4: Factors of 76937

List of positive integer factors of 76937 that divides 76930 without a remainder.

1, 7, 29, 203, 379, 2653, 10991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76930 and 76937. The biggest common factor number is the GCF number.
So the greatest common factor 76930 and 76937 is 7.

Also check out the Least Common Multiple of 76930 and 76937