What is the Greatest Common Factor of 79745 and 79755?

Greatest common factor (GCF) of 79745 and 79755 is 5.

GCF(79745,79755) = 5

We will now calculate the prime factors of 79745 and 79755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79745 and 79755.

How to find the GCF of 79745 and 79755?

We will first find the prime factorization of 79745 and 79755. After we will calculate the factors of 79745 and 79755 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79755

Prime factors of 79755 are 3, 5, 13, 409. Prime factorization of 79755 in exponential form is:

79755 = 3¹ × 5¹ × 13¹ × 409¹

Step-3: Factors of 79745

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

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

Step-4: Factors of 79755

List of positive integer factors of 79755 that divides 79745 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 409, 1227, 2045, 5317, 6135, 15951, 26585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79745 and 79755. The biggest common factor number is the GCF number.
So the greatest common factor 79745 and 79755 is 5.

Also check out the Least Common Multiple of 79745 and 79755