What is the Greatest Common Factor of 47575 and 47586?

Greatest common factor (GCF) of 47575 and 47586 is 11.

GCF(47575,47586) = 11

We will now calculate the prime factors of 47575 and 47586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47575 and 47586.

How to find the GCF of 47575 and 47586?

We will first find the prime factorization of 47575 and 47586. After we will calculate the factors of 47575 and 47586 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47586

Prime factors of 47586 are 2, 3, 7, 11, 103. Prime factorization of 47586 in exponential form is:

47586 = 2¹ × 3¹ × 7¹ × 11¹ × 103¹

Step-3: Factors of 47575

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

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

Step-4: Factors of 47586

List of positive integer factors of 47586 that divides 47575 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 103, 154, 206, 231, 309, 462, 618, 721, 1133, 1442, 2163, 2266, 3399, 4326, 6798, 7931, 15862, 23793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47575 and 47586. The biggest common factor number is the GCF number.
So the greatest common factor 47575 and 47586 is 11.

Also check out the Least Common Multiple of 47575 and 47586