What is the Greatest Common Factor of 79345 and 79350?

Greatest common factor (GCF) of 79345 and 79350 is 5.

GCF(79345,79350) = 5

We will now calculate the prime factors of 79345 and 79350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79345 and 79350.

How to find the GCF of 79345 and 79350?

We will first find the prime factorization of 79345 and 79350. After we will calculate the factors of 79345 and 79350 and find the biggest common factor number .

Step-1: Prime Factorization of 79345

Prime factors of 79345 are 5, 7, 2267. Prime factorization of 79345 in exponential form is:

79345 = 5¹ × 7¹ × 2267¹

Step-2: 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-3: Factors of 79345

List of positive integer factors of 79345 that divides 79345 without a remainder.

1, 5, 7, 35, 2267, 11335, 15869

Step-4: Factors of 79350

List of positive integer factors of 79350 that divides 79345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79345 and 79350. The biggest common factor number is the GCF number.
So the greatest common factor 79345 and 79350 is 5.

Also check out the Least Common Multiple of 79345 and 79350