What is the Greatest Common Factor of 79975 and 79980?

Greatest common factor (GCF) of 79975 and 79980 is 5.

GCF(79975,79980) = 5

We will now calculate the prime factors of 79975 and 79980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79975 and 79980.

How to find the GCF of 79975 and 79980?

We will first find the prime factorization of 79975 and 79980. After we will calculate the factors of 79975 and 79980 and find the biggest common factor number .

Step-1: Prime Factorization of 79975

Prime factors of 79975 are 5, 7, 457. Prime factorization of 79975 in exponential form is:

79975 = 5² × 7¹ × 457¹

Step-2: 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-3: Factors of 79975

List of positive integer factors of 79975 that divides 79975 without a remainder.

1, 5, 7, 25, 35, 175, 457, 2285, 3199, 11425, 15995

Step-4: Factors of 79980

List of positive integer factors of 79980 that divides 79975 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79975 and 79980. The biggest common factor number is the GCF number.
So the greatest common factor 79975 and 79980 is 5.

Also check out the Least Common Multiple of 79975 and 79980