What is the Greatest Common Factor of 79980 and 79995?

Greatest common factor (GCF) of 79980 and 79995 is 15.

GCF(79980,79995) = 15

We will now calculate the prime factors of 79980 and 79995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79980 and 79995.

How to find the GCF of 79980 and 79995?

We will first find the prime factorization of 79980 and 79995. After we will calculate the factors of 79980 and 79995 and find the biggest common factor number .

Step-1: Prime Factorization of 79980

Prime factors of 79980 are 2, 3, 5, 31, 43. Prime factorization of 79980 in exponential form is:

79980 = 2² × 3¹ × 5¹ × 31¹ × 43¹

Step-2: Prime Factorization of 79995

Prime factors of 79995 are 3, 5, 5333. Prime factorization of 79995 in exponential form is:

79995 = 3¹ × 5¹ × 5333¹

Step-3: Factors of 79980

List of positive integer factors of 79980 that divides 79980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 43, 60, 62, 86, 93, 124, 129, 155, 172, 186, 215, 258, 310, 372, 430, 465, 516, 620, 645, 860, 930, 1290, 1333, 1860, 2580, 2666, 3999, 5332, 6665, 7998, 13330, 15996, 19995, 26660, 39990

Step-4: Factors of 79995

List of positive integer factors of 79995 that divides 79980 without a remainder.

1, 3, 5, 15, 5333, 15999, 26665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79980 and 79995. The biggest common factor number is the GCF number.
So the greatest common factor 79980 and 79995 is 15.

Also check out the Least Common Multiple of 79980 and 79995