What is the Greatest Common Factor of 89375 and 89380?

Greatest common factor (GCF) of 89375 and 89380 is 5.

GCF(89375,89380) = 5

We will now calculate the prime factors of 89375 and 89380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89375 and 89380.

How to find the GCF of 89375 and 89380?

We will first find the prime factorization of 89375 and 89380. After we will calculate the factors of 89375 and 89380 and find the biggest common factor number .

Step-1: Prime Factorization of 89375

Prime factors of 89375 are 5, 11, 13. Prime factorization of 89375 in exponential form is:

89375 = 5⁴ × 11¹ × 13¹

Step-2: Prime Factorization of 89380

Prime factors of 89380 are 2, 5, 41, 109. Prime factorization of 89380 in exponential form is:

89380 = 2² × 5¹ × 41¹ × 109¹

Step-3: Factors of 89375

List of positive integer factors of 89375 that divides 89375 without a remainder.

1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 625, 715, 1375, 1625, 3575, 6875, 8125, 17875

Step-4: Factors of 89380

List of positive integer factors of 89380 that divides 89375 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 109, 164, 205, 218, 410, 436, 545, 820, 1090, 2180, 4469, 8938, 17876, 22345, 44690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89375 and 89380. The biggest common factor number is the GCF number.
So the greatest common factor 89375 and 89380 is 5.

Also check out the Least Common Multiple of 89375 and 89380