What is the Greatest Common Factor of 79580 and 79593?

Greatest common factor (GCF) of 79580 and 79593 is 1.

GCF(79580,79593) = 1

We will now calculate the prime factors of 79580 and 79593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79580 and 79593.

How to find the GCF of 79580 and 79593?

We will first find the prime factorization of 79580 and 79593. After we will calculate the factors of 79580 and 79593 and find the biggest common factor number .

Step-1: Prime Factorization of 79580

Prime factors of 79580 are 2, 5, 23, 173. Prime factorization of 79580 in exponential form is:

79580 = 2² × 5¹ × 23¹ × 173¹

Step-2: Prime Factorization of 79593

Prime factors of 79593 are 3, 43, 617. Prime factorization of 79593 in exponential form is:

79593 = 3¹ × 43¹ × 617¹

Step-3: Factors of 79580

List of positive integer factors of 79580 that divides 79580 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 173, 230, 346, 460, 692, 865, 1730, 3460, 3979, 7958, 15916, 19895, 39790

Step-4: Factors of 79593

List of positive integer factors of 79593 that divides 79580 without a remainder.

1, 3, 43, 129, 617, 1851, 26531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79580 and 79593. The biggest common factor number is the GCF number.
So the greatest common factor 79580 and 79593 is 1.

Also check out the Least Common Multiple of 79580 and 79593