What is the Greatest Common Factor of 89012 and 89026?

Greatest common factor (GCF) of 89012 and 89026 is 14.

GCF(89012,89026) = 14

We will now calculate the prime factors of 89012 and 89026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89012 and 89026.

How to find the GCF of 89012 and 89026?

We will first find the prime factorization of 89012 and 89026. After we will calculate the factors of 89012 and 89026 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 89026

Prime factors of 89026 are 2, 7, 6359. Prime factorization of 89026 in exponential form is:

89026 = 2¹ × 7¹ × 6359¹

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 89026

List of positive integer factors of 89026 that divides 89012 without a remainder.

1, 2, 7, 14, 6359, 12718, 44513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89012 and 89026. The biggest common factor number is the GCF number.
So the greatest common factor 89012 and 89026 is 14.

Also check out the Least Common Multiple of 89012 and 89026