What is the Greatest Common Factor of 89236 and 89250?

Greatest common factor (GCF) of 89236 and 89250 is 14.

GCF(89236,89250) = 14

We will now calculate the prime factors of 89236 and 89250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89236 and 89250.

How to find the GCF of 89236 and 89250?

We will first find the prime factorization of 89236 and 89250. After we will calculate the factors of 89236 and 89250 and find the biggest common factor number .

Step-1: Prime Factorization of 89236

Prime factors of 89236 are 2, 7, 3187. Prime factorization of 89236 in exponential form is:

89236 = 2² × 7¹ × 3187¹

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 89236

List of positive integer factors of 89236 that divides 89236 without a remainder.

1, 2, 4, 7, 14, 28, 3187, 6374, 12748, 22309, 44618

Step-4: Factors of 89250

List of positive integer factors of 89250 that divides 89236 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 89236 and 89250. The biggest common factor number is the GCF number.
So the greatest common factor 89236 and 89250 is 14.

Also check out the Least Common Multiple of 89236 and 89250