What is the Greatest Common Factor of 89590 and 89607?

Greatest common factor (GCF) of 89590 and 89607 is 17.

GCF(89590,89607) = 17

We will now calculate the prime factors of 89590 and 89607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89590 and 89607.

How to find the GCF of 89590 and 89607?

We will first find the prime factorization of 89590 and 89607. After we will calculate the factors of 89590 and 89607 and find the biggest common factor number .

Step-1: Prime Factorization of 89590

Prime factors of 89590 are 2, 5, 17, 31. Prime factorization of 89590 in exponential form is:

89590 = 2¹ × 5¹ × 17² × 31¹

Step-2: Prime Factorization of 89607

Prime factors of 89607 are 3, 7, 17, 251. Prime factorization of 89607 in exponential form is:

89607 = 3¹ × 7¹ × 17¹ × 251¹

Step-3: Factors of 89590

List of positive integer factors of 89590 that divides 89590 without a remainder.

1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 289, 310, 527, 578, 1054, 1445, 2635, 2890, 5270, 8959, 17918, 44795

Step-4: Factors of 89607

List of positive integer factors of 89607 that divides 89590 without a remainder.

1, 3, 7, 17, 21, 51, 119, 251, 357, 753, 1757, 4267, 5271, 12801, 29869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89590 and 89607. The biggest common factor number is the GCF number.
So the greatest common factor 89590 and 89607 is 17.

Also check out the Least Common Multiple of 89590 and 89607