What is the Greatest Common Factor of 89012 and 89017?

Greatest common factor (GCF) of 89012 and 89017 is 1.

GCF(89012,89017) = 1

We will now calculate the prime factors of 89012 and 89017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89012 and 89017.

How to find the GCF of 89012 and 89017?

We will first find the prime factorization of 89012 and 89017. After we will calculate the factors of 89012 and 89017 and find the biggest common factor number .

Step-1: Prime Factorization of 89012

Prime factors of 89012 are 2, 7, 11, 17. Prime factorization of 89012 in exponential form is:

89012 = 2² × 7¹ × 11¹ × 17²

Step-2: Prime Factorization of 89017

Prime factors of 89017 are 89017. Prime factorization of 89017 in exponential form is:

89017 = 89017¹

Step-3: Factors of 89012

List of positive integer factors of 89012 that divides 89012 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 289, 308, 374, 476, 578, 748, 1156, 1309, 2023, 2618, 3179, 4046, 5236, 6358, 8092, 12716, 22253, 44506

Step-4: Factors of 89017

List of positive integer factors of 89017 that divides 89012 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89012 and 89017. The biggest common factor number is the GCF number.
So the greatest common factor 89012 and 89017 is 1.

Also check out the Least Common Multiple of 89012 and 89017