What is the Greatest Common Factor of 79776 and 79780?

Greatest common factor (GCF) of 79776 and 79780 is 4.

GCF(79776,79780) = 4

We will now calculate the prime factors of 79776 and 79780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79776 and 79780.

How to find the GCF of 79776 and 79780?

We will first find the prime factorization of 79776 and 79780. After we will calculate the factors of 79776 and 79780 and find the biggest common factor number .

Step-1: Prime Factorization of 79776

Prime factors of 79776 are 2, 3, 277. Prime factorization of 79776 in exponential form is:

79776 = 2⁵ × 3² × 277¹

Step-2: Prime Factorization of 79780

Prime factors of 79780 are 2, 5, 3989. Prime factorization of 79780 in exponential form is:

79780 = 2² × 5¹ × 3989¹

Step-3: Factors of 79776

List of positive integer factors of 79776 that divides 79776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 277, 288, 554, 831, 1108, 1662, 2216, 2493, 3324, 4432, 4986, 6648, 8864, 9972, 13296, 19944, 26592, 39888

Step-4: Factors of 79780

List of positive integer factors of 79780 that divides 79776 without a remainder.

1, 2, 4, 5, 10, 20, 3989, 7978, 15956, 19945, 39890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79776 and 79780. The biggest common factor number is the GCF number.
So the greatest common factor 79776 and 79780 is 4.

Also check out the Least Common Multiple of 79776 and 79780