What is the Greatest Common Factor of 79000 and 79007?

Greatest common factor (GCF) of 79000 and 79007 is 1.

GCF(79000,79007) = 1

We will now calculate the prime factors of 79000 and 79007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79000 and 79007.

How to find the GCF of 79000 and 79007?

We will first find the prime factorization of 79000 and 79007. After we will calculate the factors of 79000 and 79007 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 79007

Prime factors of 79007 are 41, 47. Prime factorization of 79007 in exponential form is:

79007 = 41² × 47¹

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 79007

List of positive integer factors of 79007 that divides 79000 without a remainder.

1, 41, 47, 1681, 1927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79000 and 79007. The biggest common factor number is the GCF number.
So the greatest common factor 79000 and 79007 is 1.

Also check out the Least Common Multiple of 79000 and 79007