What is the Greatest Common Factor of 77300 and 77320?

Greatest common factor (GCF) of 77300 and 77320 is 20.

GCF(77300,77320) = 20

We will now calculate the prime factors of 77300 and 77320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77300 and 77320.

How to find the GCF of 77300 and 77320?

We will first find the prime factorization of 77300 and 77320. After we will calculate the factors of 77300 and 77320 and find the biggest common factor number .

Step-1: Prime Factorization of 77300

Prime factors of 77300 are 2, 5, 773. Prime factorization of 77300 in exponential form is:

77300 = 2² × 5² × 773¹

Step-2: Prime Factorization of 77320

Prime factors of 77320 are 2, 5, 1933. Prime factorization of 77320 in exponential form is:

77320 = 2³ × 5¹ × 1933¹

Step-3: Factors of 77300

List of positive integer factors of 77300 that divides 77300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 773, 1546, 3092, 3865, 7730, 15460, 19325, 38650

Step-4: Factors of 77320

List of positive integer factors of 77320 that divides 77300 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1933, 3866, 7732, 9665, 15464, 19330, 38660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77300 and 77320. The biggest common factor number is the GCF number.
So the greatest common factor 77300 and 77320 is 20.

Also check out the Least Common Multiple of 77300 and 77320