What is the Greatest Common Factor of 89238 and 89250?

Greatest common factor (GCF) of 89238 and 89250 is 6.

GCF(89238,89250) = 6

We will now calculate the prime factors of 89238 and 89250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89238 and 89250.

How to find the GCF of 89238 and 89250?

We will first find the prime factorization of 89238 and 89250. After we will calculate the factors of 89238 and 89250 and find the biggest common factor number .

Step-1: Prime Factorization of 89238

Prime factors of 89238 are 2, 3, 107, 139. Prime factorization of 89238 in exponential form is:

89238 = 2¹ × 3¹ × 107¹ × 139¹

Step-2: Prime Factorization of 89250

Prime factors of 89250 are 2, 3, 5, 7, 17. Prime factorization of 89250 in exponential form is:

89250 = 2¹ × 3¹ × 5³ × 7¹ × 17¹

Step-3: Factors of 89238

List of positive integer factors of 89238 that divides 89238 without a remainder.

1, 2, 3, 6, 107, 139, 214, 278, 321, 417, 642, 834, 14873, 29746, 44619

Step-4: Factors of 89250

List of positive integer factors of 89250 that divides 89238 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 25, 30, 34, 35, 42, 50, 51, 70, 75, 85, 102, 105, 119, 125, 150, 170, 175, 210, 238, 250, 255, 350, 357, 375, 425, 510, 525, 595, 714, 750, 850, 875, 1050, 1190, 1275, 1750, 1785, 2125, 2550, 2625, 2975, 3570, 4250, 5250, 5950, 6375, 8925, 12750, 14875, 17850, 29750, 44625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89238 and 89250. The biggest common factor number is the GCF number.
So the greatest common factor 89238 and 89250 is 6.

Also check out the Least Common Multiple of 89238 and 89250