What is the Greatest Common Factor of 79000 and 79016?

Greatest common factor (GCF) of 79000 and 79016 is 8.

GCF(79000,79016) = 8

We will now calculate the prime factors of 79000 and 79016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79000 and 79016.

How to find the GCF of 79000 and 79016?

We will first find the prime factorization of 79000 and 79016. After we will calculate the factors of 79000 and 79016 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 79016

Prime factors of 79016 are 2, 7, 17, 83. Prime factorization of 79016 in exponential form is:

79016 = 2³ × 7¹ × 17¹ × 83¹

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 79016

List of positive integer factors of 79016 that divides 79000 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 83, 119, 136, 166, 238, 332, 476, 581, 664, 952, 1162, 1411, 2324, 2822, 4648, 5644, 9877, 11288, 19754, 39508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79000 and 79016. The biggest common factor number is the GCF number.
So the greatest common factor 79000 and 79016 is 8.

Also check out the Least Common Multiple of 79000 and 79016