What is the Greatest Common Factor of 79409 and 79420?

Greatest common factor (GCF) of 79409 and 79420 is 11.

GCF(79409,79420) = 11

We will now calculate the prime factors of 79409 and 79420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79409 and 79420.

How to find the GCF of 79409 and 79420?

We will first find the prime factorization of 79409 and 79420. After we will calculate the factors of 79409 and 79420 and find the biggest common factor number .

Step-1: Prime Factorization of 79409

Prime factors of 79409 are 11, 7219. Prime factorization of 79409 in exponential form is:

79409 = 11¹ × 7219¹

Step-2: Prime Factorization of 79420

Prime factors of 79420 are 2, 5, 11, 19. Prime factorization of 79420 in exponential form is:

79420 = 2² × 5¹ × 11¹ × 19²

Step-3: Factors of 79409

List of positive integer factors of 79409 that divides 79409 without a remainder.

1, 11, 7219

Step-4: Factors of 79420

List of positive integer factors of 79420 that divides 79409 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 361, 380, 418, 722, 836, 1045, 1444, 1805, 2090, 3610, 3971, 4180, 7220, 7942, 15884, 19855, 39710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79409 and 79420. The biggest common factor number is the GCF number.
So the greatest common factor 79409 and 79420 is 11.

Also check out the Least Common Multiple of 79409 and 79420