What is the Greatest Common Factor of 79350 and 79362?

Greatest common factor (GCF) of 79350 and 79362 is 6.

GCF(79350,79362) = 6

We will now calculate the prime factors of 79350 and 79362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79350 and 79362.

How to find the GCF of 79350 and 79362?

We will first find the prime factorization of 79350 and 79362. After we will calculate the factors of 79350 and 79362 and find the biggest common factor number .

Step-1: Prime Factorization of 79350

Prime factors of 79350 are 2, 3, 5, 23. Prime factorization of 79350 in exponential form is:

79350 = 2¹ × 3¹ × 5² × 23²

Step-2: Prime Factorization of 79362

Prime factors of 79362 are 2, 3, 4409. Prime factorization of 79362 in exponential form is:

79362 = 2¹ × 3² × 4409¹

Step-3: Factors of 79350

List of positive integer factors of 79350 that divides 79350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 529, 575, 690, 1058, 1150, 1587, 1725, 2645, 3174, 3450, 5290, 7935, 13225, 15870, 26450, 39675

Step-4: Factors of 79362

List of positive integer factors of 79362 that divides 79350 without a remainder.

1, 2, 3, 6, 9, 18, 4409, 8818, 13227, 26454, 39681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79350 and 79362. The biggest common factor number is the GCF number.
So the greatest common factor 79350 and 79362 is 6.

Also check out the Least Common Multiple of 79350 and 79362