What is the Greatest Common Factor of 7672 and 7678?

Greatest common factor (GCF) of 7672 and 7678 is 2.

GCF(7672,7678) = 2

We will now calculate the prime factors of 7672 and 7678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7672 and 7678.

How to find the GCF of 7672 and 7678?

We will first find the prime factorization of 7672 and 7678. After we will calculate the factors of 7672 and 7678 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 7678

Prime factors of 7678 are 2, 11, 349. Prime factorization of 7678 in exponential form is:

7678 = 2¹ × 11¹ × 349¹

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 7678

List of positive integer factors of 7678 that divides 7672 without a remainder.

1, 2, 11, 22, 349, 698, 3839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7672 and 7678. The biggest common factor number is the GCF number.
So the greatest common factor 7672 and 7678 is 2.

Also check out the Least Common Multiple of 7672 and 7678