What is the Greatest Common Factor of 42731 and 42750?

Greatest common factor (GCF) of 42731 and 42750 is 19.

GCF(42731,42750) = 19

We will now calculate the prime factors of 42731 and 42750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42731 and 42750.

How to find the GCF of 42731 and 42750?

We will first find the prime factorization of 42731 and 42750. After we will calculate the factors of 42731 and 42750 and find the biggest common factor number .

Step-1: Prime Factorization of 42731

Prime factors of 42731 are 13, 19, 173. Prime factorization of 42731 in exponential form is:

42731 = 13¹ × 19¹ × 173¹

Step-2: 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-3: Factors of 42731

List of positive integer factors of 42731 that divides 42731 without a remainder.

1, 13, 19, 173, 247, 2249, 3287

Step-4: Factors of 42750

List of positive integer factors of 42750 that divides 42731 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42731 and 42750. The biggest common factor number is the GCF number.
So the greatest common factor 42731 and 42750 is 19.

Also check out the Least Common Multiple of 42731 and 42750