What is the Greatest Common Factor of 79758 and 79776?

Greatest common factor (GCF) of 79758 and 79776 is 18.

GCF(79758,79776) = 18

We will now calculate the prime factors of 79758 and 79776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79758 and 79776.

How to find the GCF of 79758 and 79776?

We will first find the prime factorization of 79758 and 79776. After we will calculate the factors of 79758 and 79776 and find the biggest common factor number .

Step-1: Prime Factorization of 79758

Prime factors of 79758 are 2, 3, 7, 211. Prime factorization of 79758 in exponential form is:

79758 = 2¹ × 3³ × 7¹ × 211¹

Step-2: 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-3: Factors of 79758

List of positive integer factors of 79758 that divides 79758 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 211, 378, 422, 633, 1266, 1477, 1899, 2954, 3798, 4431, 5697, 8862, 11394, 13293, 26586, 39879

Step-4: Factors of 79776

List of positive integer factors of 79776 that divides 79758 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79758 and 79776. The biggest common factor number is the GCF number.
So the greatest common factor 79758 and 79776 is 18.

Also check out the Least Common Multiple of 79758 and 79776