What is the Greatest Common Factor of 79863 and 79875?

Greatest common factor (GCF) of 79863 and 79875 is 3.

GCF(79863,79875) = 3

We will now calculate the prime factors of 79863 and 79875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79863 and 79875.

How to find the GCF of 79863 and 79875?

We will first find the prime factorization of 79863 and 79875. After we will calculate the factors of 79863 and 79875 and find the biggest common factor number .

Step-1: Prime Factorization of 79863

Prime factors of 79863 are 3, 7, 3803. Prime factorization of 79863 in exponential form is:

79863 = 3¹ × 7¹ × 3803¹

Step-2: Prime Factorization of 79875

Prime factors of 79875 are 3, 5, 71. Prime factorization of 79875 in exponential form is:

79875 = 3² × 5³ × 71¹

Step-3: Factors of 79863

List of positive integer factors of 79863 that divides 79863 without a remainder.

1, 3, 7, 21, 3803, 11409, 26621

Step-4: Factors of 79875

List of positive integer factors of 79875 that divides 79863 without a remainder.

1, 3, 5, 9, 15, 25, 45, 71, 75, 125, 213, 225, 355, 375, 639, 1065, 1125, 1775, 3195, 5325, 8875, 15975, 26625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79863 and 79875. The biggest common factor number is the GCF number.
So the greatest common factor 79863 and 79875 is 3.

Also check out the Least Common Multiple of 79863 and 79875