What is the Greatest Common Factor of 616 and 623?

Greatest common factor (GCF) of 616 and 623 is 7.

GCF(616,623) = 7

We will now calculate the prime factors of 616 and 623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 616 and 623.

How to find the GCF of 616 and 623?

We will first find the prime factorization of 616 and 623. After we will calculate the factors of 616 and 623 and find the biggest common factor number .

Step-1: Prime Factorization of 616

Prime factors of 616 are 2, 7, 11. Prime factorization of 616 in exponential form is:

616 = 2³ × 7¹ × 11¹

Step-2: Prime Factorization of 623

Prime factors of 623 are 7, 89. Prime factorization of 623 in exponential form is:

623 = 7¹ × 89¹

Step-3: Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308

Step-4: Factors of 623

List of positive integer factors of 623 that divides 616 without a remainder.

1, 7, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 616 and 623. The biggest common factor number is the GCF number.
So the greatest common factor 616 and 623 is 7.

Also check out the Least Common Multiple of 616 and 623