What is the Greatest Common Factor of 79420 and 79429?

Greatest common factor (GCF) of 79420 and 79429 is 1.

GCF(79420,79429) = 1

We will now calculate the prime factors of 79420 and 79429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79420 and 79429.

How to find the GCF of 79420 and 79429?

We will first find the prime factorization of 79420 and 79429. After we will calculate the factors of 79420 and 79429 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 79429

Prime factors of 79429 are 7, 1621. Prime factorization of 79429 in exponential form is:

79429 = 7² × 1621¹

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 79429

List of positive integer factors of 79429 that divides 79420 without a remainder.

1, 7, 49, 1621, 11347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79420 and 79429. The biggest common factor number is the GCF number.
So the greatest common factor 79420 and 79429 is 1.

Also check out the Least Common Multiple of 79420 and 79429