What is the Greatest Common Factor of 89250 and 89265?

Greatest common factor (GCF) of 89250 and 89265 is 15.

GCF(89250,89265) = 15

We will now calculate the prime factors of 89250 and 89265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89250 and 89265.

How to find the GCF of 89250 and 89265?

We will first find the prime factorization of 89250 and 89265. After we will calculate the factors of 89250 and 89265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89265

Prime factors of 89265 are 3, 5, 11, 541. Prime factorization of 89265 in exponential form is:

89265 = 3¹ × 5¹ × 11¹ × 541¹

Step-3: Factors of 89250

List of positive integer factors of 89250 that divides 89250 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

Step-4: Factors of 89265

List of positive integer factors of 89265 that divides 89250 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 541, 1623, 2705, 5951, 8115, 17853, 29755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89250 and 89265. The biggest common factor number is the GCF number.
So the greatest common factor 89250 and 89265 is 15.

Also check out the Least Common Multiple of 89250 and 89265