What is the Greatest Common Factor of 79360 and 79369?

Greatest common factor (GCF) of 79360 and 79369 is 1.

GCF(79360,79369) = 1

We will now calculate the prime factors of 79360 and 79369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79360 and 79369.

How to find the GCF of 79360 and 79369?

We will first find the prime factorization of 79360 and 79369. After we will calculate the factors of 79360 and 79369 and find the biggest common factor number .

Step-1: Prime Factorization of 79360

Prime factors of 79360 are 2, 5, 31. Prime factorization of 79360 in exponential form is:

79360 = 2⁹ × 5¹ × 31¹

Step-2: Prime Factorization of 79369

Prime factors of 79369 are 139, 571. Prime factorization of 79369 in exponential form is:

79369 = 139¹ × 571¹

Step-3: Factors of 79360

List of positive integer factors of 79360 that divides 79360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 128, 155, 160, 248, 256, 310, 320, 496, 512, 620, 640, 992, 1240, 1280, 1984, 2480, 2560, 3968, 4960, 7936, 9920, 15872, 19840, 39680

Step-4: Factors of 79369

List of positive integer factors of 79369 that divides 79360 without a remainder.

1, 139, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79360 and 79369. The biggest common factor number is the GCF number.
So the greatest common factor 79360 and 79369 is 1.

Also check out the Least Common Multiple of 79360 and 79369