What is the Greatest Common Factor of 47564 and 47568?

Greatest common factor (GCF) of 47564 and 47568 is 4.

GCF(47564,47568) = 4

We will now calculate the prime factors of 47564 and 47568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47564 and 47568.

How to find the GCF of 47564 and 47568?

We will first find the prime factorization of 47564 and 47568. After we will calculate the factors of 47564 and 47568 and find the biggest common factor number .

Step-1: Prime Factorization of 47564

Prime factors of 47564 are 2, 11, 23, 47. Prime factorization of 47564 in exponential form is:

47564 = 2² × 11¹ × 23¹ × 47¹

Step-2: Prime Factorization of 47568

Prime factors of 47568 are 2, 3, 991. Prime factorization of 47568 in exponential form is:

47568 = 2⁴ × 3¹ × 991¹

Step-3: Factors of 47564

List of positive integer factors of 47564 that divides 47564 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 47, 92, 94, 188, 253, 506, 517, 1012, 1034, 1081, 2068, 2162, 4324, 11891, 23782

Step-4: Factors of 47568

List of positive integer factors of 47568 that divides 47564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 991, 1982, 2973, 3964, 5946, 7928, 11892, 15856, 23784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47564 and 47568. The biggest common factor number is the GCF number.
So the greatest common factor 47564 and 47568 is 4.

Also check out the Least Common Multiple of 47564 and 47568