What is the Greatest Common Factor of 23750 and 23767?

Greatest common factor (GCF) of 23750 and 23767 is 1.

GCF(23750,23767) = 1

We will now calculate the prime factors of 23750 and 23767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23750 and 23767.

How to find the GCF of 23750 and 23767?

We will first find the prime factorization of 23750 and 23767. After we will calculate the factors of 23750 and 23767 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 23767

Prime factors of 23767 are 23767. Prime factorization of 23767 in exponential form is:

23767 = 23767¹

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 23767

List of positive integer factors of 23767 that divides 23750 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23750 and 23767. The biggest common factor number is the GCF number.
So the greatest common factor 23750 and 23767 is 1.

Also check out the Least Common Multiple of 23750 and 23767