What is the Greatest Common Factor of 89355 and 89373?

Greatest common factor (GCF) of 89355 and 89373 is 3.

GCF(89355,89373) = 3

We will now calculate the prime factors of 89355 and 89373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89355 and 89373.

How to find the GCF of 89355 and 89373?

We will first find the prime factorization of 89355 and 89373. After we will calculate the factors of 89355 and 89373 and find the biggest common factor number .

Step-1: Prime Factorization of 89355

Prime factors of 89355 are 3, 5, 7, 23, 37. Prime factorization of 89355 in exponential form is:

89355 = 3¹ × 5¹ × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 89373

Prime factors of 89373 are 3, 31. Prime factorization of 89373 in exponential form is:

89373 = 3¹ × 31³

Step-3: Factors of 89355

List of positive integer factors of 89355 that divides 89355 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 37, 69, 105, 111, 115, 161, 185, 259, 345, 483, 555, 777, 805, 851, 1295, 2415, 2553, 3885, 4255, 5957, 12765, 17871, 29785

Step-4: Factors of 89373

List of positive integer factors of 89373 that divides 89355 without a remainder.

1, 3, 31, 93, 961, 2883, 29791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89355 and 89373. The biggest common factor number is the GCF number.
So the greatest common factor 89355 and 89373 is 3.

Also check out the Least Common Multiple of 89355 and 89373