What is the Greatest Common Factor of 79420 and 79431?

Greatest common factor (GCF) of 79420 and 79431 is 11.

GCF(79420,79431) = 11

We will now calculate the prime factors of 79420 and 79431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79420 and 79431.

How to find the GCF of 79420 and 79431?

We will first find the prime factorization of 79420 and 79431. After we will calculate the factors of 79420 and 79431 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 79431

Prime factors of 79431 are 3, 11, 29, 83. Prime factorization of 79431 in exponential form is:

79431 = 3¹ × 11¹ × 29¹ × 83¹

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 79431

List of positive integer factors of 79431 that divides 79420 without a remainder.

1, 3, 11, 29, 33, 83, 87, 249, 319, 913, 957, 2407, 2739, 7221, 26477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79420 and 79431. The biggest common factor number is the GCF number.
So the greatest common factor 79420 and 79431 is 11.

Also check out the Least Common Multiple of 79420 and 79431