What is the Greatest Common Factor of 7672 and 7679?

Greatest common factor (GCF) of 7672 and 7679 is 7.

GCF(7672,7679) = 7

We will now calculate the prime factors of 7672 and 7679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7672 and 7679.

How to find the GCF of 7672 and 7679?

We will first find the prime factorization of 7672 and 7679. After we will calculate the factors of 7672 and 7679 and find the biggest common factor number .

Step-1: Prime Factorization of 7672

Prime factors of 7672 are 2, 7, 137. Prime factorization of 7672 in exponential form is:

7672 = 2³ × 7¹ × 137¹

Step-2: Prime Factorization of 7679

Prime factors of 7679 are 7, 1097. Prime factorization of 7679 in exponential form is:

7679 = 7¹ × 1097¹

Step-3: Factors of 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836

Step-4: Factors of 7679

List of positive integer factors of 7679 that divides 7672 without a remainder.

1, 7, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7672 and 7679. The biggest common factor number is the GCF number.
So the greatest common factor 7672 and 7679 is 7.

Also check out the Least Common Multiple of 7672 and 7679