What is the Greatest Common Factor of 79935 and 79940?

Greatest common factor (GCF) of 79935 and 79940 is 5.

GCF(79935,79940) = 5

We will now calculate the prime factors of 79935 and 79940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79935 and 79940.

How to find the GCF of 79935 and 79940?

We will first find the prime factorization of 79935 and 79940. After we will calculate the factors of 79935 and 79940 and find the biggest common factor number .

Step-1: Prime Factorization of 79935

Prime factors of 79935 are 3, 5, 73. Prime factorization of 79935 in exponential form is:

79935 = 3¹ × 5¹ × 73²

Step-2: Prime Factorization of 79940

Prime factors of 79940 are 2, 5, 7, 571. Prime factorization of 79940 in exponential form is:

79940 = 2² × 5¹ × 7¹ × 571¹

Step-3: Factors of 79935

List of positive integer factors of 79935 that divides 79935 without a remainder.

1, 3, 5, 15, 73, 219, 365, 1095, 5329, 15987, 26645

Step-4: Factors of 79940

List of positive integer factors of 79940 that divides 79935 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 571, 1142, 2284, 2855, 3997, 5710, 7994, 11420, 15988, 19985, 39970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79935 and 79940. The biggest common factor number is the GCF number.
So the greatest common factor 79935 and 79940 is 5.

Also check out the Least Common Multiple of 79935 and 79940