What is the Greatest Common Factor of 87750 and 87763?

Greatest common factor (GCF) of 87750 and 87763 is 13.

GCF(87750,87763) = 13

We will now calculate the prime factors of 87750 and 87763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87750 and 87763.

How to find the GCF of 87750 and 87763?

We will first find the prime factorization of 87750 and 87763. After we will calculate the factors of 87750 and 87763 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 87763

Prime factors of 87763 are 13, 43, 157. Prime factorization of 87763 in exponential form is:

87763 = 13¹ × 43¹ × 157¹

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 87763

List of positive integer factors of 87763 that divides 87750 without a remainder.

1, 13, 43, 157, 559, 2041, 6751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87750 and 87763. The biggest common factor number is the GCF number.
So the greatest common factor 87750 and 87763 is 13.

Also check out the Least Common Multiple of 87750 and 87763