What is the Greatest Common Factor of 7672 and 7686?

Greatest common factor (GCF) of 7672 and 7686 is 14.

GCF(7672,7686) = 14

We will now calculate the prime factors of 7672 and 7686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7672 and 7686.

How to find the GCF of 7672 and 7686?

We will first find the prime factorization of 7672 and 7686. After we will calculate the factors of 7672 and 7686 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 7686

Prime factors of 7686 are 2, 3, 7, 61. Prime factorization of 7686 in exponential form is:

7686 = 2¹ × 3² × 7¹ × 61¹

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 7686

List of positive integer factors of 7686 that divides 7672 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7672 and 7686. The biggest common factor number is the GCF number.
So the greatest common factor 7672 and 7686 is 14.

Also check out the Least Common Multiple of 7672 and 7686