What is the Greatest Common Factor of 79366 and 79373?

Greatest common factor (GCF) of 79366 and 79373 is 7.

GCF(79366,79373) = 7

We will now calculate the prime factors of 79366 and 79373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79366 and 79373.

How to find the GCF of 79366 and 79373?

We will first find the prime factorization of 79366 and 79373. After we will calculate the factors of 79366 and 79373 and find the biggest common factor number .

Step-1: Prime Factorization of 79366

Prime factors of 79366 are 2, 7, 5669. Prime factorization of 79366 in exponential form is:

79366 = 2¹ × 7¹ × 5669¹

Step-2: Prime Factorization of 79373

Prime factors of 79373 are 7, 17, 23, 29. Prime factorization of 79373 in exponential form is:

79373 = 7¹ × 17¹ × 23¹ × 29¹

Step-3: Factors of 79366

List of positive integer factors of 79366 that divides 79366 without a remainder.

1, 2, 7, 14, 5669, 11338, 39683

Step-4: Factors of 79373

List of positive integer factors of 79373 that divides 79366 without a remainder.

1, 7, 17, 23, 29, 119, 161, 203, 391, 493, 667, 2737, 3451, 4669, 11339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79366 and 79373. The biggest common factor number is the GCF number.
So the greatest common factor 79366 and 79373 is 7.

Also check out the Least Common Multiple of 79366 and 79373