What is the Greatest Common Factor of 89375 and 89394?

Greatest common factor (GCF) of 89375 and 89394 is 1.

GCF(89375,89394) = 1

We will now calculate the prime factors of 89375 and 89394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89375 and 89394.

How to find the GCF of 89375 and 89394?

We will first find the prime factorization of 89375 and 89394. After we will calculate the factors of 89375 and 89394 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 89394

Prime factors of 89394 are 2, 3, 47, 317. Prime factorization of 89394 in exponential form is:

89394 = 2¹ × 3¹ × 47¹ × 317¹

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 89394

List of positive integer factors of 89394 that divides 89375 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 317, 634, 951, 1902, 14899, 29798, 44697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89375 and 89394. The biggest common factor number is the GCF number.
So the greatest common factor 89375 and 89394 is 1.

Also check out the Least Common Multiple of 89375 and 89394