What is the Greatest Common Factor of 89145 and 89159?

Greatest common factor (GCF) of 89145 and 89159 is 7.

GCF(89145,89159) = 7

We will now calculate the prime factors of 89145 and 89159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89145 and 89159.

How to find the GCF of 89145 and 89159?

We will first find the prime factorization of 89145 and 89159. After we will calculate the factors of 89145 and 89159 and find the biggest common factor number .

Step-1: Prime Factorization of 89145

Prime factors of 89145 are 3, 5, 7, 283. Prime factorization of 89145 in exponential form is:

89145 = 3² × 5¹ × 7¹ × 283¹

Step-2: Prime Factorization of 89159

Prime factors of 89159 are 7, 47, 271. Prime factorization of 89159 in exponential form is:

89159 = 7¹ × 47¹ × 271¹

Step-3: Factors of 89145

List of positive integer factors of 89145 that divides 89145 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 283, 315, 849, 1415, 1981, 2547, 4245, 5943, 9905, 12735, 17829, 29715

Step-4: Factors of 89159

List of positive integer factors of 89159 that divides 89145 without a remainder.

1, 7, 47, 271, 329, 1897, 12737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89145 and 89159. The biggest common factor number is the GCF number.
So the greatest common factor 89145 and 89159 is 7.

Also check out the Least Common Multiple of 89145 and 89159