What is the Greatest Common Factor of 47560 and 47575?

Greatest common factor (GCF) of 47560 and 47575 is 5.

GCF(47560,47575) = 5

We will now calculate the prime factors of 47560 and 47575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47560 and 47575.

How to find the GCF of 47560 and 47575?

We will first find the prime factorization of 47560 and 47575. After we will calculate the factors of 47560 and 47575 and find the biggest common factor number .

Step-1: Prime Factorization of 47560

Prime factors of 47560 are 2, 5, 29, 41. Prime factorization of 47560 in exponential form is:

47560 = 2³ × 5¹ × 29¹ × 41¹

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 47560

List of positive integer factors of 47560 that divides 47560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 41, 58, 82, 116, 145, 164, 205, 232, 290, 328, 410, 580, 820, 1160, 1189, 1640, 2378, 4756, 5945, 9512, 11890, 23780

Step-4: Factors of 47575

List of positive integer factors of 47575 that divides 47560 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 47560 and 47575. The biggest common factor number is the GCF number.
So the greatest common factor 47560 and 47575 is 5.

Also check out the Least Common Multiple of 47560 and 47575