What is the Greatest Common Factor of 89348 and 89355?

Greatest common factor (GCF) of 89348 and 89355 is 7.

GCF(89348,89355) = 7

We will now calculate the prime factors of 89348 and 89355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89348 and 89355.

How to find the GCF of 89348 and 89355?

We will first find the prime factorization of 89348 and 89355. After we will calculate the factors of 89348 and 89355 and find the biggest common factor number .

Step-1: Prime Factorization of 89348

Prime factors of 89348 are 2, 7, 3191. Prime factorization of 89348 in exponential form is:

89348 = 2² × 7¹ × 3191¹

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 89348

List of positive integer factors of 89348 that divides 89348 without a remainder.

1, 2, 4, 7, 14, 28, 3191, 6382, 12764, 22337, 44674

Step-4: Factors of 89355

List of positive integer factors of 89355 that divides 89348 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 89348 and 89355. The biggest common factor number is the GCF number.
So the greatest common factor 89348 and 89355 is 7.

Also check out the Least Common Multiple of 89348 and 89355