What is the Greatest Common Factor of 79740 and 79745?

Greatest common factor (GCF) of 79740 and 79745 is 5.

GCF(79740,79745) = 5

We will now calculate the prime factors of 79740 and 79745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79740 and 79745.

How to find the GCF of 79740 and 79745?

We will first find the prime factorization of 79740 and 79745. After we will calculate the factors of 79740 and 79745 and find the biggest common factor number .

Step-1: Prime Factorization of 79740

Prime factors of 79740 are 2, 3, 5, 443. Prime factorization of 79740 in exponential form is:

79740 = 2² × 3² × 5¹ × 443¹

Step-2: Prime Factorization of 79745

Prime factors of 79745 are 5, 41, 389. Prime factorization of 79745 in exponential form is:

79745 = 5¹ × 41¹ × 389¹

Step-3: Factors of 79740

List of positive integer factors of 79740 that divides 79740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 443, 886, 1329, 1772, 2215, 2658, 3987, 4430, 5316, 6645, 7974, 8860, 13290, 15948, 19935, 26580, 39870

Step-4: Factors of 79745

List of positive integer factors of 79745 that divides 79740 without a remainder.

1, 5, 41, 205, 389, 1945, 15949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79740 and 79745. The biggest common factor number is the GCF number.
So the greatest common factor 79740 and 79745 is 5.

Also check out the Least Common Multiple of 79740 and 79745