What is the Greatest Common Factor of 42750 and 42765?

Greatest common factor (GCF) of 42750 and 42765 is 15.

GCF(42750,42765) = 15

We will now calculate the prime factors of 42750 and 42765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42750 and 42765.

How to find the GCF of 42750 and 42765?

We will first find the prime factorization of 42750 and 42765. After we will calculate the factors of 42750 and 42765 and find the biggest common factor number .

Step-1: Prime Factorization of 42750

Prime factors of 42750 are 2, 3, 5, 19. Prime factorization of 42750 in exponential form is:

42750 = 2¹ × 3² × 5³ × 19¹

Step-2: Prime Factorization of 42765

Prime factors of 42765 are 3, 5, 2851. Prime factorization of 42765 in exponential form is:

42765 = 3¹ × 5¹ × 2851¹

Step-3: Factors of 42750

List of positive integer factors of 42750 that divides 42750 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 125, 150, 171, 190, 225, 250, 285, 342, 375, 450, 475, 570, 750, 855, 950, 1125, 1425, 1710, 2250, 2375, 2850, 4275, 4750, 7125, 8550, 14250, 21375

Step-4: Factors of 42765

List of positive integer factors of 42765 that divides 42750 without a remainder.

1, 3, 5, 15, 2851, 8553, 14255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42750 and 42765. The biggest common factor number is the GCF number.
So the greatest common factor 42750 and 42765 is 15.

Also check out the Least Common Multiple of 42750 and 42765