What is the Greatest Common Factor of 79439 and 79452?

Greatest common factor (GCF) of 79439 and 79452 is 1.

GCF(79439,79452) = 1

We will now calculate the prime factors of 79439 and 79452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79439 and 79452.

How to find the GCF of 79439 and 79452?

We will first find the prime factorization of 79439 and 79452. After we will calculate the factors of 79439 and 79452 and find the biggest common factor number .

Step-1: Prime Factorization of 79439

Prime factors of 79439 are 19, 37, 113. Prime factorization of 79439 in exponential form is:

79439 = 19¹ × 37¹ × 113¹

Step-2: Prime Factorization of 79452

Prime factors of 79452 are 2, 3, 2207. Prime factorization of 79452 in exponential form is:

79452 = 2² × 3² × 2207¹

Step-3: Factors of 79439

List of positive integer factors of 79439 that divides 79439 without a remainder.

1, 19, 37, 113, 703, 2147, 4181

Step-4: Factors of 79452

List of positive integer factors of 79452 that divides 79439 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2207, 4414, 6621, 8828, 13242, 19863, 26484, 39726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79439 and 79452. The biggest common factor number is the GCF number.
So the greatest common factor 79439 and 79452 is 1.

Also check out the Least Common Multiple of 79439 and 79452