What is the Greatest Common Factor of 89349 and 89355?

Greatest common factor (GCF) of 89349 and 89355 is 3.

GCF(89349,89355) = 3

We will now calculate the prime factors of 89349 and 89355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89349 and 89355.

How to find the GCF of 89349 and 89355?

We will first find the prime factorization of 89349 and 89355. After we will calculate the factors of 89349 and 89355 and find the biggest common factor number .

Step-1: Prime Factorization of 89349

Prime factors of 89349 are 3, 13, 29, 79. Prime factorization of 89349 in exponential form is:

89349 = 3¹ × 13¹ × 29¹ × 79¹

Step-2: 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-3: Factors of 89349

List of positive integer factors of 89349 that divides 89349 without a remainder.

1, 3, 13, 29, 39, 79, 87, 237, 377, 1027, 1131, 2291, 3081, 6873, 29783

Step-4: Factors of 89355

List of positive integer factors of 89355 that divides 89349 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89349 and 89355. The biggest common factor number is the GCF number.
So the greatest common factor 89349 and 89355 is 3.

Also check out the Least Common Multiple of 89349 and 89355