What is the Greatest Common Factor of 27500 and 27512?

Greatest common factor (GCF) of 27500 and 27512 is 4.

GCF(27500,27512) = 4

We will now calculate the prime factors of 27500 and 27512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27500 and 27512.

How to find the GCF of 27500 and 27512?

We will first find the prime factorization of 27500 and 27512. After we will calculate the factors of 27500 and 27512 and find the biggest common factor number .

Step-1: Prime Factorization of 27500

Prime factors of 27500 are 2, 5, 11. Prime factorization of 27500 in exponential form is:

27500 = 2² × 5⁴ × 11¹

Step-2: Prime Factorization of 27512

Prime factors of 27512 are 2, 19, 181. Prime factorization of 27512 in exponential form is:

27512 = 2³ × 19¹ × 181¹

Step-3: Factors of 27500

List of positive integer factors of 27500 that divides 27500 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 625, 1100, 1250, 1375, 2500, 2750, 5500, 6875, 13750

Step-4: Factors of 27512

List of positive integer factors of 27512 that divides 27500 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 181, 362, 724, 1448, 3439, 6878, 13756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27500 and 27512. The biggest common factor number is the GCF number.
So the greatest common factor 27500 and 27512 is 4.

Also check out the Least Common Multiple of 27500 and 27512