What is the Greatest Common Factor of 76090 and 76097?

Greatest common factor (GCF) of 76090 and 76097 is 7.

GCF(76090,76097) = 7

We will now calculate the prime factors of 76090 and 76097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76090 and 76097.

How to find the GCF of 76090 and 76097?

We will first find the prime factorization of 76090 and 76097. After we will calculate the factors of 76090 and 76097 and find the biggest common factor number .

Step-1: Prime Factorization of 76090

Prime factors of 76090 are 2, 5, 7, 1087. Prime factorization of 76090 in exponential form is:

76090 = 2¹ × 5¹ × 7¹ × 1087¹

Step-2: Prime Factorization of 76097

Prime factors of 76097 are 7, 1553. Prime factorization of 76097 in exponential form is:

76097 = 7² × 1553¹

Step-3: Factors of 76090

List of positive integer factors of 76090 that divides 76090 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1087, 2174, 5435, 7609, 10870, 15218, 38045

Step-4: Factors of 76097

List of positive integer factors of 76097 that divides 76090 without a remainder.

1, 7, 49, 1553, 10871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76090 and 76097. The biggest common factor number is the GCF number.
So the greatest common factor 76090 and 76097 is 7.

Also check out the Least Common Multiple of 76090 and 76097