What is the Greatest Common Factor of 23750 and 23762?

Greatest common factor (GCF) of 23750 and 23762 is 2.

GCF(23750,23762) = 2

We will now calculate the prime factors of 23750 and 23762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23750 and 23762.

How to find the GCF of 23750 and 23762?

We will first find the prime factorization of 23750 and 23762. After we will calculate the factors of 23750 and 23762 and find the biggest common factor number .

Step-1: Prime Factorization of 23750

Prime factors of 23750 are 2, 5, 19. Prime factorization of 23750 in exponential form is:

23750 = 2¹ × 5⁴ × 19¹

Step-2: Prime Factorization of 23762

Prime factors of 23762 are 2, 109. Prime factorization of 23762 in exponential form is:

23762 = 2¹ × 109²

Step-3: Factors of 23750

List of positive integer factors of 23750 that divides 23750 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 625, 950, 1250, 2375, 4750, 11875

Step-4: Factors of 23762

List of positive integer factors of 23762 that divides 23750 without a remainder.

1, 2, 109, 218, 11881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23750 and 23762. The biggest common factor number is the GCF number.
So the greatest common factor 23750 and 23762 is 2.

Also check out the Least Common Multiple of 23750 and 23762