What is the Greatest Common Factor of 27250 and 27260?

Greatest common factor (GCF) of 27250 and 27260 is 10.

GCF(27250,27260) = 10

We will now calculate the prime factors of 27250 and 27260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27250 and 27260.

How to find the GCF of 27250 and 27260?

We will first find the prime factorization of 27250 and 27260. After we will calculate the factors of 27250 and 27260 and find the biggest common factor number .

Step-1: Prime Factorization of 27250

Prime factors of 27250 are 2, 5, 109. Prime factorization of 27250 in exponential form is:

27250 = 2¹ × 5³ × 109¹

Step-2: Prime Factorization of 27260

Prime factors of 27260 are 2, 5, 29, 47. Prime factorization of 27260 in exponential form is:

27260 = 2² × 5¹ × 29¹ × 47¹

Step-3: Factors of 27250

List of positive integer factors of 27250 that divides 27250 without a remainder.

1, 2, 5, 10, 25, 50, 109, 125, 218, 250, 545, 1090, 2725, 5450, 13625

Step-4: Factors of 27260

List of positive integer factors of 27260 that divides 27250 without a remainder.

1, 2, 4, 5, 10, 20, 29, 47, 58, 94, 116, 145, 188, 235, 290, 470, 580, 940, 1363, 2726, 5452, 6815, 13630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27250 and 27260. The biggest common factor number is the GCF number.
So the greatest common factor 27250 and 27260 is 10.

Also check out the Least Common Multiple of 27250 and 27260