What is the Greatest Common Factor of 47652 and 47663?

Greatest common factor (GCF) of 47652 and 47663 is 11.

GCF(47652,47663) = 11

We will now calculate the prime factors of 47652 and 47663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47652 and 47663.

How to find the GCF of 47652 and 47663?

We will first find the prime factorization of 47652 and 47663. After we will calculate the factors of 47652 and 47663 and find the biggest common factor number .

Step-1: Prime Factorization of 47652

Prime factors of 47652 are 2, 3, 11, 19. Prime factorization of 47652 in exponential form is:

47652 = 2² × 3¹ × 11¹ × 19²

Step-2: Prime Factorization of 47663

Prime factors of 47663 are 7, 11, 619. Prime factorization of 47663 in exponential form is:

47663 = 7¹ × 11¹ × 619¹

Step-3: Factors of 47652

List of positive integer factors of 47652 that divides 47652 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 361, 418, 627, 722, 836, 1083, 1254, 1444, 2166, 2508, 3971, 4332, 7942, 11913, 15884, 23826

Step-4: Factors of 47663

List of positive integer factors of 47663 that divides 47652 without a remainder.

1, 7, 11, 77, 619, 4333, 6809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47652 and 47663. The biggest common factor number is the GCF number.
So the greatest common factor 47652 and 47663 is 11.

Also check out the Least Common Multiple of 47652 and 47663