What is the Greatest Common Factor of 79000 and 79010?

Greatest common factor (GCF) of 79000 and 79010 is 10.

GCF(79000,79010) = 10

We will now calculate the prime factors of 79000 and 79010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79000 and 79010.

How to find the GCF of 79000 and 79010?

We will first find the prime factorization of 79000 and 79010. After we will calculate the factors of 79000 and 79010 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 79010

Prime factors of 79010 are 2, 5, 7901. Prime factorization of 79010 in exponential form is:

79010 = 2¹ × 5¹ × 7901¹

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 79010

List of positive integer factors of 79010 that divides 79000 without a remainder.

1, 2, 5, 10, 7901, 15802, 39505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79000 and 79010. The biggest common factor number is the GCF number.
So the greatest common factor 79000 and 79010 is 10.

Also check out the Least Common Multiple of 79000 and 79010