What is the Greatest Common Factor of 47610 and 47616?

Greatest common factor (GCF) of 47610 and 47616 is 6.

GCF(47610,47616) = 6

We will now calculate the prime factors of 47610 and 47616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47610 and 47616.

How to find the GCF of 47610 and 47616?

We will first find the prime factorization of 47610 and 47616. After we will calculate the factors of 47610 and 47616 and find the biggest common factor number .

Step-1: Prime Factorization of 47610

Prime factors of 47610 are 2, 3, 5, 23. Prime factorization of 47610 in exponential form is:

47610 = 2¹ × 3² × 5¹ × 23²

Step-2: Prime Factorization of 47616

Prime factors of 47616 are 2, 3, 31. Prime factorization of 47616 in exponential form is:

47616 = 2⁹ × 3¹ × 31¹

Step-3: Factors of 47610

List of positive integer factors of 47610 that divides 47610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 529, 690, 1035, 1058, 1587, 2070, 2645, 3174, 4761, 5290, 7935, 9522, 15870, 23805

Step-4: Factors of 47616

List of positive integer factors of 47616 that divides 47610 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 128, 186, 192, 248, 256, 372, 384, 496, 512, 744, 768, 992, 1488, 1536, 1984, 2976, 3968, 5952, 7936, 11904, 15872, 23808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47610 and 47616. The biggest common factor number is the GCF number.
So the greatest common factor 47610 and 47616 is 6.

Also check out the Least Common Multiple of 47610 and 47616