What is the Greatest Common Factor of 7600 and 7616?

Greatest common factor (GCF) of 7600 and 7616 is 16.

GCF(7600,7616) = 16

We will now calculate the prime factors of 7600 and 7616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7600 and 7616.

How to find the GCF of 7600 and 7616?

We will first find the prime factorization of 7600 and 7616. After we will calculate the factors of 7600 and 7616 and find the biggest common factor number .

Step-1: Prime Factorization of 7600

Prime factors of 7600 are 2, 5, 19. Prime factorization of 7600 in exponential form is:

7600 = 2⁴ × 5² × 19¹

Step-2: Prime Factorization of 7616

Prime factors of 7616 are 2, 7, 17. Prime factorization of 7616 in exponential form is:

7616 = 2⁶ × 7¹ × 17¹

Step-3: Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800

Step-4: Factors of 7616

List of positive integer factors of 7616 that divides 7600 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7600 and 7616. The biggest common factor number is the GCF number.
So the greatest common factor 7600 and 7616 is 16.

Also check out the Least Common Multiple of 7600 and 7616