What is the Greatest Common Factor of 87750 and 87765?

Greatest common factor (GCF) of 87750 and 87765 is 15.

GCF(87750,87765) = 15

We will now calculate the prime factors of 87750 and 87765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87750 and 87765.

How to find the GCF of 87750 and 87765?

We will first find the prime factorization of 87750 and 87765. After we will calculate the factors of 87750 and 87765 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87765

Prime factors of 87765 are 3, 5, 5851. Prime factorization of 87765 in exponential form is:

87765 = 3¹ × 5¹ × 5851¹

Step-3: Factors of 87750

List of positive integer factors of 87750 that divides 87750 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

Step-4: Factors of 87765

List of positive integer factors of 87765 that divides 87750 without a remainder.

1, 3, 5, 15, 5851, 17553, 29255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87750 and 87765. The biggest common factor number is the GCF number.
So the greatest common factor 87750 and 87765 is 15.

Also check out the Least Common Multiple of 87750 and 87765