What is the Greatest Common Factor of 87737 and 87750?

Greatest common factor (GCF) of 87737 and 87750 is 13.

GCF(87737,87750) = 13

We will now calculate the prime factors of 87737 and 87750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87737 and 87750.

How to find the GCF of 87737 and 87750?

We will first find the prime factorization of 87737 and 87750. After we will calculate the factors of 87737 and 87750 and find the biggest common factor number .

Step-1: Prime Factorization of 87737

Prime factors of 87737 are 13, 17, 397. Prime factorization of 87737 in exponential form is:

87737 = 13¹ × 17¹ × 397¹

Step-2: Prime Factorization of 87750

Prime factors of 87750 are 2, 3, 5, 13. Prime factorization of 87750 in exponential form is:

87750 = 2¹ × 3³ × 5³ × 13¹

Step-3: Factors of 87737

List of positive integer factors of 87737 that divides 87737 without a remainder.

1, 13, 17, 221, 397, 5161, 6749

Step-4: Factors of 87750

List of positive integer factors of 87750 that divides 87737 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45, 50, 54, 65, 75, 78, 90, 117, 125, 130, 135, 150, 195, 225, 234, 250, 270, 325, 351, 375, 390, 450, 585, 650, 675, 702, 750, 975, 1125, 1170, 1350, 1625, 1755, 1950, 2250, 2925, 3250, 3375, 3510, 4875, 5850, 6750, 8775, 9750, 14625, 17550, 29250, 43875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87737 and 87750. The biggest common factor number is the GCF number.
So the greatest common factor 87737 and 87750 is 13.

Also check out the Least Common Multiple of 87737 and 87750