What is the Greatest Common Factor of 47648 and 47652?

Greatest common factor (GCF) of 47648 and 47652 is 4.

GCF(47648,47652) = 4

We will now calculate the prime factors of 47648 and 47652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47648 and 47652.

How to find the GCF of 47648 and 47652?

We will first find the prime factorization of 47648 and 47652. After we will calculate the factors of 47648 and 47652 and find the biggest common factor number .

Step-1: Prime Factorization of 47648

Prime factors of 47648 are 2, 1489. Prime factorization of 47648 in exponential form is:

47648 = 2⁵ × 1489¹

Step-2: 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-3: Factors of 47648

List of positive integer factors of 47648 that divides 47648 without a remainder.

1, 2, 4, 8, 16, 32, 1489, 2978, 5956, 11912, 23824

Step-4: Factors of 47652

List of positive integer factors of 47652 that divides 47648 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47648 and 47652. The biggest common factor number is the GCF number.
So the greatest common factor 47648 and 47652 is 4.

Also check out the Least Common Multiple of 47648 and 47652