What is the Greatest Common Factor of 87742 and 87750?

Greatest common factor (GCF) of 87742 and 87750 is 2.

GCF(87742,87750) = 2

We will now calculate the prime factors of 87742 and 87750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87742 and 87750.

How to find the GCF of 87742 and 87750?

We will first find the prime factorization of 87742 and 87750. After we will calculate the factors of 87742 and 87750 and find the biggest common factor number .

Step-1: Prime Factorization of 87742

Prime factors of 87742 are 2, 19, 2309. Prime factorization of 87742 in exponential form is:

87742 = 2¹ × 19¹ × 2309¹

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 87742

List of positive integer factors of 87742 that divides 87742 without a remainder.

1, 2, 19, 38, 2309, 4618, 43871

Step-4: Factors of 87750

List of positive integer factors of 87750 that divides 87742 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 87742 and 87750. The biggest common factor number is the GCF number.
So the greatest common factor 87742 and 87750 is 2.

Also check out the Least Common Multiple of 87742 and 87750