What is the Greatest Common Factor of 87730 and 87750?

Greatest common factor (GCF) of 87730 and 87750 is 10.

GCF(87730,87750) = 10

We will now calculate the prime factors of 87730 and 87750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87730 and 87750.

How to find the GCF of 87730 and 87750?

We will first find the prime factorization of 87730 and 87750. After we will calculate the factors of 87730 and 87750 and find the biggest common factor number .

Step-1: Prime Factorization of 87730

Prime factors of 87730 are 2, 5, 31, 283. Prime factorization of 87730 in exponential form is:

87730 = 2¹ × 5¹ × 31¹ × 283¹

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 87730

List of positive integer factors of 87730 that divides 87730 without a remainder.

1, 2, 5, 10, 31, 62, 155, 283, 310, 566, 1415, 2830, 8773, 17546, 43865

Step-4: Factors of 87750

List of positive integer factors of 87750 that divides 87730 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 87730 and 87750. The biggest common factor number is the GCF number.
So the greatest common factor 87730 and 87750 is 10.

Also check out the Least Common Multiple of 87730 and 87750