What is the Greatest Common Factor of 79049 and 79059?

Greatest common factor (GCF) of 79049 and 79059 is 1.

GCF(79049,79059) = 1

We will now calculate the prime factors of 79049 and 79059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79049 and 79059.

How to find the GCF of 79049 and 79059?

We will first find the prime factorization of 79049 and 79059. After we will calculate the factors of 79049 and 79059 and find the biggest common factor number .

Step-1: Prime Factorization of 79049

Prime factors of 79049 are 137, 577. Prime factorization of 79049 in exponential form is:

79049 = 137¹ × 577¹

Step-2: Prime Factorization of 79059

Prime factors of 79059 are 3, 19, 73. Prime factorization of 79059 in exponential form is:

79059 = 3¹ × 19² × 73¹

Step-3: Factors of 79049

List of positive integer factors of 79049 that divides 79049 without a remainder.

1, 137, 577

Step-4: Factors of 79059

List of positive integer factors of 79059 that divides 79049 without a remainder.

1, 3, 19, 57, 73, 219, 361, 1083, 1387, 4161, 26353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79049 and 79059. The biggest common factor number is the GCF number.
So the greatest common factor 79049 and 79059 is 1.

Also check out the Least Common Multiple of 79049 and 79059