What is the Greatest Common Factor of 79000 and 79018?

Greatest common factor (GCF) of 79000 and 79018 is 2.

GCF(79000,79018) = 2

We will now calculate the prime factors of 79000 and 79018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79000 and 79018.

How to find the GCF of 79000 and 79018?

We will first find the prime factorization of 79000 and 79018. After we will calculate the factors of 79000 and 79018 and find the biggest common factor number .

Step-1: Prime Factorization of 79000

Prime factors of 79000 are 2, 5, 79. Prime factorization of 79000 in exponential form is:

79000 = 2³ × 5³ × 79¹

Step-2: Prime Factorization of 79018

Prime factors of 79018 are 2, 39509. Prime factorization of 79018 in exponential form is:

79018 = 2¹ × 39509¹

Step-3: Factors of 79000

List of positive integer factors of 79000 that divides 79000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 79, 100, 125, 158, 200, 250, 316, 395, 500, 632, 790, 1000, 1580, 1975, 3160, 3950, 7900, 9875, 15800, 19750, 39500

Step-4: Factors of 79018

List of positive integer factors of 79018 that divides 79000 without a remainder.

1, 2, 39509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79000 and 79018. The biggest common factor number is the GCF number.
So the greatest common factor 79000 and 79018 is 2.

Also check out the Least Common Multiple of 79000 and 79018