What is the Greatest Common Factor of 79473 and 79492?

Greatest common factor (GCF) of 79473 and 79492 is 1.

GCF(79473,79492) = 1

We will now calculate the prime factors of 79473 and 79492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79473 and 79492.

How to find the GCF of 79473 and 79492?

We will first find the prime factorization of 79473 and 79492. After we will calculate the factors of 79473 and 79492 and find the biggest common factor number .

Step-1: Prime Factorization of 79473

Prime factors of 79473 are 3, 59, 449. Prime factorization of 79473 in exponential form is:

79473 = 3¹ × 59¹ × 449¹

Step-2: Prime Factorization of 79492

Prime factors of 79492 are 2, 7, 17, 167. Prime factorization of 79492 in exponential form is:

79492 = 2² × 7¹ × 17¹ × 167¹

Step-3: Factors of 79473

List of positive integer factors of 79473 that divides 79473 without a remainder.

1, 3, 59, 177, 449, 1347, 26491

Step-4: Factors of 79492

List of positive integer factors of 79492 that divides 79473 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 167, 238, 334, 476, 668, 1169, 2338, 2839, 4676, 5678, 11356, 19873, 39746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79473 and 79492. The biggest common factor number is the GCF number.
So the greatest common factor 79473 and 79492 is 1.

Also check out the Least Common Multiple of 79473 and 79492