What is the Greatest Common Factor of 89025 and 89034?

Greatest common factor (GCF) of 89025 and 89034 is 3.

GCF(89025,89034) = 3

We will now calculate the prime factors of 89025 and 89034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89025 and 89034.

How to find the GCF of 89025 and 89034?

We will first find the prime factorization of 89025 and 89034. After we will calculate the factors of 89025 and 89034 and find the biggest common factor number .

Step-1: Prime Factorization of 89025

Prime factors of 89025 are 3, 5, 1187. Prime factorization of 89025 in exponential form is:

89025 = 3¹ × 5² × 1187¹

Step-2: Prime Factorization of 89034

Prime factors of 89034 are 2, 3, 11, 19, 71. Prime factorization of 89034 in exponential form is:

89034 = 2¹ × 3¹ × 11¹ × 19¹ × 71¹

Step-3: Factors of 89025

List of positive integer factors of 89025 that divides 89025 without a remainder.

1, 3, 5, 15, 25, 75, 1187, 3561, 5935, 17805, 29675

Step-4: Factors of 89034

List of positive integer factors of 89034 that divides 89025 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 71, 114, 142, 209, 213, 418, 426, 627, 781, 1254, 1349, 1562, 2343, 2698, 4047, 4686, 8094, 14839, 29678, 44517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89025 and 89034. The biggest common factor number is the GCF number.
So the greatest common factor 89025 and 89034 is 3.

Also check out the Least Common Multiple of 89025 and 89034