What is the Greatest Common Factor of 77200 and 77212?

Greatest common factor (GCF) of 77200 and 77212 is 4.

GCF(77200,77212) = 4

We will now calculate the prime factors of 77200 and 77212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77200 and 77212.

How to find the GCF of 77200 and 77212?

We will first find the prime factorization of 77200 and 77212. After we will calculate the factors of 77200 and 77212 and find the biggest common factor number .

Step-1: Prime Factorization of 77200

Prime factors of 77200 are 2, 5, 193. Prime factorization of 77200 in exponential form is:

77200 = 2⁴ × 5² × 193¹

Step-2: Prime Factorization of 77212

Prime factors of 77212 are 2, 97, 199. Prime factorization of 77212 in exponential form is:

77212 = 2² × 97¹ × 199¹

Step-3: Factors of 77200

List of positive integer factors of 77200 that divides 77200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 193, 200, 386, 400, 772, 965, 1544, 1930, 3088, 3860, 4825, 7720, 9650, 15440, 19300, 38600

Step-4: Factors of 77212

List of positive integer factors of 77212 that divides 77200 without a remainder.

1, 2, 4, 97, 194, 199, 388, 398, 796, 19303, 38606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77200 and 77212. The biggest common factor number is the GCF number.
So the greatest common factor 77200 and 77212 is 4.

Also check out the Least Common Multiple of 77200 and 77212