What is the Greatest Common Factor of 89006 and 89012?

Greatest common factor (GCF) of 89006 and 89012 is 2.

GCF(89006,89012) = 2

We will now calculate the prime factors of 89006 and 89012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89006 and 89012.

How to find the GCF of 89006 and 89012?

We will first find the prime factorization of 89006 and 89012. After we will calculate the factors of 89006 and 89012 and find the biggest common factor number .

Step-1: Prime Factorization of 89006

Prime factors of 89006 are 2, 191, 233. Prime factorization of 89006 in exponential form is:

89006 = 2¹ × 191¹ × 233¹

Step-2: 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-3: Factors of 89006

List of positive integer factors of 89006 that divides 89006 without a remainder.

1, 2, 191, 233, 382, 466, 44503

Step-4: Factors of 89012

List of positive integer factors of 89012 that divides 89006 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89006 and 89012. The biggest common factor number is the GCF number.
So the greatest common factor 89006 and 89012 is 2.

Also check out the Least Common Multiple of 89006 and 89012