What is the Greatest Common Factor of 89012 and 89029?

Greatest common factor (GCF) of 89012 and 89029 is 17.

GCF(89012,89029) = 17

We will now calculate the prime factors of 89012 and 89029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89012 and 89029.

How to find the GCF of 89012 and 89029?

We will first find the prime factorization of 89012 and 89029. After we will calculate the factors of 89012 and 89029 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 89029

Prime factors of 89029 are 17, 5237. Prime factorization of 89029 in exponential form is:

89029 = 17¹ × 5237¹

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 89029

List of positive integer factors of 89029 that divides 89012 without a remainder.

1, 17, 5237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89012 and 89029. The biggest common factor number is the GCF number.
So the greatest common factor 89012 and 89029 is 17.

Also check out the Least Common Multiple of 89012 and 89029