What is the Greatest Common Factor of 79890 and 79895?

Greatest common factor (GCF) of 79890 and 79895 is 5.

GCF(79890,79895) = 5

We will now calculate the prime factors of 79890 and 79895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79890 and 79895.

How to find the GCF of 79890 and 79895?

We will first find the prime factorization of 79890 and 79895. After we will calculate the factors of 79890 and 79895 and find the biggest common factor number .

Step-1: Prime Factorization of 79890

Prime factors of 79890 are 2, 3, 5, 2663. Prime factorization of 79890 in exponential form is:

79890 = 2¹ × 3¹ × 5¹ × 2663¹

Step-2: Prime Factorization of 79895

Prime factors of 79895 are 5, 19, 29. Prime factorization of 79895 in exponential form is:

79895 = 5¹ × 19¹ × 29²

Step-3: Factors of 79890

List of positive integer factors of 79890 that divides 79890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2663, 5326, 7989, 13315, 15978, 26630, 39945

Step-4: Factors of 79895

List of positive integer factors of 79895 that divides 79890 without a remainder.

1, 5, 19, 29, 95, 145, 551, 841, 2755, 4205, 15979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79890 and 79895. The biggest common factor number is the GCF number.
So the greatest common factor 79890 and 79895 is 5.

Also check out the Least Common Multiple of 79890 and 79895