What is the Greatest Common Factor of 79016 and 79033?

Greatest common factor (GCF) of 79016 and 79033 is 17.

GCF(79016,79033) = 17

We will now calculate the prime factors of 79016 and 79033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79016 and 79033.

How to find the GCF of 79016 and 79033?

We will first find the prime factorization of 79016 and 79033. After we will calculate the factors of 79016 and 79033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79033

Prime factors of 79033 are 17, 4649. Prime factorization of 79033 in exponential form is:

79033 = 17¹ × 4649¹

Step-3: Factors of 79016

List of positive integer factors of 79016 that divides 79016 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

Step-4: Factors of 79033

List of positive integer factors of 79033 that divides 79016 without a remainder.

1, 17, 4649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79016 and 79033. The biggest common factor number is the GCF number.
So the greatest common factor 79016 and 79033 is 17.

Also check out the Least Common Multiple of 79016 and 79033