What is the Greatest Common Factor of 77600 and 77604?

Greatest common factor (GCF) of 77600 and 77604 is 4.

GCF(77600,77604) = 4

We will now calculate the prime factors of 77600 and 77604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77600 and 77604.

How to find the GCF of 77600 and 77604?

We will first find the prime factorization of 77600 and 77604. After we will calculate the factors of 77600 and 77604 and find the biggest common factor number .

Step-1: Prime Factorization of 77600

Prime factors of 77600 are 2, 5, 97. Prime factorization of 77600 in exponential form is:

77600 = 2⁵ × 5² × 97¹

Step-2: Prime Factorization of 77604

Prime factors of 77604 are 2, 3, 29, 223. Prime factorization of 77604 in exponential form is:

77604 = 2² × 3¹ × 29¹ × 223¹

Step-3: Factors of 77600

List of positive integer factors of 77600 that divides 77600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 97, 100, 160, 194, 200, 388, 400, 485, 776, 800, 970, 1552, 1940, 2425, 3104, 3880, 4850, 7760, 9700, 15520, 19400, 38800

Step-4: Factors of 77604

List of positive integer factors of 77604 that divides 77600 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 223, 348, 446, 669, 892, 1338, 2676, 6467, 12934, 19401, 25868, 38802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77600 and 77604. The biggest common factor number is the GCF number.
So the greatest common factor 77600 and 77604 is 4.

Also check out the Least Common Multiple of 77600 and 77604