What is the Greatest Common Factor of 79320 and 79330?

Greatest common factor (GCF) of 79320 and 79330 is 10.

GCF(79320,79330) = 10

We will now calculate the prime factors of 79320 and 79330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79320 and 79330.

How to find the GCF of 79320 and 79330?

We will first find the prime factorization of 79320 and 79330. After we will calculate the factors of 79320 and 79330 and find the biggest common factor number .

Step-1: Prime Factorization of 79320

Prime factors of 79320 are 2, 3, 5, 661. Prime factorization of 79320 in exponential form is:

79320 = 2³ × 3¹ × 5¹ × 661¹

Step-2: Prime Factorization of 79330

Prime factors of 79330 are 2, 5, 7933. Prime factorization of 79330 in exponential form is:

79330 = 2¹ × 5¹ × 7933¹

Step-3: Factors of 79320

List of positive integer factors of 79320 that divides 79320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 661, 1322, 1983, 2644, 3305, 3966, 5288, 6610, 7932, 9915, 13220, 15864, 19830, 26440, 39660

Step-4: Factors of 79330

List of positive integer factors of 79330 that divides 79320 without a remainder.

1, 2, 5, 10, 7933, 15866, 39665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79320 and 79330. The biggest common factor number is the GCF number.
So the greatest common factor 79320 and 79330 is 10.

Also check out the Least Common Multiple of 79320 and 79330