What is the Greatest Common Factor of 89148 and 89159?

Greatest common factor (GCF) of 89148 and 89159 is 1.

GCF(89148,89159) = 1

We will now calculate the prime factors of 89148 and 89159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89148 and 89159.

How to find the GCF of 89148 and 89159?

We will first find the prime factorization of 89148 and 89159. After we will calculate the factors of 89148 and 89159 and find the biggest common factor number .

Step-1: Prime Factorization of 89148

Prime factors of 89148 are 2, 3, 17, 19, 23. Prime factorization of 89148 in exponential form is:

89148 = 2² × 3¹ × 17¹ × 19¹ × 23¹

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 89148

List of positive integer factors of 89148 that divides 89148 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574

Step-4: Factors of 89159

List of positive integer factors of 89159 that divides 89148 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89148 and 89159. The biggest common factor number is the GCF number.
So the greatest common factor 89148 and 89159 is 1.

Also check out the Least Common Multiple of 89148 and 89159