What is the Greatest Common Factor of 47564 and 47575?

Greatest common factor (GCF) of 47564 and 47575 is 11.

GCF(47564,47575) = 11

We will now calculate the prime factors of 47564 and 47575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47564 and 47575.

How to find the GCF of 47564 and 47575?

We will first find the prime factorization of 47564 and 47575. After we will calculate the factors of 47564 and 47575 and find the biggest common factor number .

Step-1: Prime Factorization of 47564

Prime factors of 47564 are 2, 11, 23, 47. Prime factorization of 47564 in exponential form is:

47564 = 2² × 11¹ × 23¹ × 47¹

Step-2: Prime Factorization of 47575

Prime factors of 47575 are 5, 11, 173. Prime factorization of 47575 in exponential form is:

47575 = 5² × 11¹ × 173¹

Step-3: Factors of 47564

List of positive integer factors of 47564 that divides 47564 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 47, 92, 94, 188, 253, 506, 517, 1012, 1034, 1081, 2068, 2162, 4324, 11891, 23782

Step-4: Factors of 47575

List of positive integer factors of 47575 that divides 47564 without a remainder.

1, 5, 11, 25, 55, 173, 275, 865, 1903, 4325, 9515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47564 and 47575. The biggest common factor number is the GCF number.
So the greatest common factor 47564 and 47575 is 11.

Also check out the Least Common Multiple of 47564 and 47575