What is the Greatest Common Factor of 89148 and 89167?

Greatest common factor (GCF) of 89148 and 89167 is 19.

GCF(89148,89167) = 19

We will now calculate the prime factors of 89148 and 89167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89148 and 89167.

How to find the GCF of 89148 and 89167?

We will first find the prime factorization of 89148 and 89167. After we will calculate the factors of 89148 and 89167 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 89167

Prime factors of 89167 are 13, 19. Prime factorization of 89167 in exponential form is:

89167 = 13¹ × 19³

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 89167

List of positive integer factors of 89167 that divides 89148 without a remainder.

1, 13, 19, 247, 361, 4693, 6859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89148 and 89167. The biggest common factor number is the GCF number.
So the greatest common factor 89148 and 89167 is 19.

Also check out the Least Common Multiple of 89148 and 89167