What is the Greatest Common Factor of 51742 and 51750?

Greatest common factor (GCF) of 51742 and 51750 is 2.

GCF(51742,51750) = 2

We will now calculate the prime factors of 51742 and 51750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51742 and 51750.

How to find the GCF of 51742 and 51750?

We will first find the prime factorization of 51742 and 51750. After we will calculate the factors of 51742 and 51750 and find the biggest common factor number .

Step-1: Prime Factorization of 51742

Prime factors of 51742 are 2, 41, 631. Prime factorization of 51742 in exponential form is:

51742 = 2¹ × 41¹ × 631¹

Step-2: Prime Factorization of 51750

Prime factors of 51750 are 2, 3, 5, 23. Prime factorization of 51750 in exponential form is:

51750 = 2¹ × 3² × 5³ × 23¹

Step-3: Factors of 51742

List of positive integer factors of 51742 that divides 51742 without a remainder.

1, 2, 41, 82, 631, 1262, 25871

Step-4: Factors of 51750

List of positive integer factors of 51750 that divides 51742 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 125, 138, 150, 207, 225, 230, 250, 345, 375, 414, 450, 575, 690, 750, 1035, 1125, 1150, 1725, 2070, 2250, 2875, 3450, 5175, 5750, 8625, 10350, 17250, 25875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51742 and 51750. The biggest common factor number is the GCF number.
So the greatest common factor 51742 and 51750 is 2.

Also check out the Least Common Multiple of 51742 and 51750