What is the Greatest Common Factor of 89128 and 89142?

Greatest common factor (GCF) of 89128 and 89142 is 2.

GCF(89128,89142) = 2

We will now calculate the prime factors of 89128 and 89142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89128 and 89142.

How to find the GCF of 89128 and 89142?

We will first find the prime factorization of 89128 and 89142. After we will calculate the factors of 89128 and 89142 and find the biggest common factor number .

Step-1: Prime Factorization of 89128

Prime factors of 89128 are 2, 13, 857. Prime factorization of 89128 in exponential form is:

89128 = 2³ × 13¹ × 857¹

Step-2: Prime Factorization of 89142

Prime factors of 89142 are 2, 3, 83, 179. Prime factorization of 89142 in exponential form is:

89142 = 2¹ × 3¹ × 83¹ × 179¹

Step-3: Factors of 89128

List of positive integer factors of 89128 that divides 89128 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 857, 1714, 3428, 6856, 11141, 22282, 44564

Step-4: Factors of 89142

List of positive integer factors of 89142 that divides 89128 without a remainder.

1, 2, 3, 6, 83, 166, 179, 249, 358, 498, 537, 1074, 14857, 29714, 44571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89128 and 89142. The biggest common factor number is the GCF number.
So the greatest common factor 89128 and 89142 is 2.

Also check out the Least Common Multiple of 89128 and 89142