What is the Greatest Common Factor of 89250 and 89254?

Greatest common factor (GCF) of 89250 and 89254 is 2.

GCF(89250,89254) = 2

We will now calculate the prime factors of 89250 and 89254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89250 and 89254.

How to find the GCF of 89250 and 89254?

We will first find the prime factorization of 89250 and 89254. After we will calculate the factors of 89250 and 89254 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 89254

Prime factors of 89254 are 2, 11, 4057. Prime factorization of 89254 in exponential form is:

89254 = 2¹ × 11¹ × 4057¹

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 89254

List of positive integer factors of 89254 that divides 89250 without a remainder.

1, 2, 11, 22, 4057, 8114, 44627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89250 and 89254. The biggest common factor number is the GCF number.
So the greatest common factor 89250 and 89254 is 2.

Also check out the Least Common Multiple of 89250 and 89254