What is the Greatest Common Factor of 79420 and 79439?

Greatest common factor (GCF) of 79420 and 79439 is 19.

GCF(79420,79439) = 19

We will now calculate the prime factors of 79420 and 79439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79420 and 79439.

How to find the GCF of 79420 and 79439?

We will first find the prime factorization of 79420 and 79439. After we will calculate the factors of 79420 and 79439 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79439

Prime factors of 79439 are 19, 37, 113. Prime factorization of 79439 in exponential form is:

79439 = 19¹ × 37¹ × 113¹

Step-3: Factors of 79420

List of positive integer factors of 79420 that divides 79420 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

Step-4: Factors of 79439

List of positive integer factors of 79439 that divides 79420 without a remainder.

1, 19, 37, 113, 703, 2147, 4181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79420 and 79439. The biggest common factor number is the GCF number.
So the greatest common factor 79420 and 79439 is 19.

Also check out the Least Common Multiple of 79420 and 79439