What is the Greatest Common Factor of 47624 and 47644?

Greatest common factor (GCF) of 47624 and 47644 is 4.

GCF(47624,47644) = 4

We will now calculate the prime factors of 47624 and 47644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47624 and 47644.

How to find the GCF of 47624 and 47644?

We will first find the prime factorization of 47624 and 47644. After we will calculate the factors of 47624 and 47644 and find the biggest common factor number .

Step-1: Prime Factorization of 47624

Prime factors of 47624 are 2, 5953. Prime factorization of 47624 in exponential form is:

47624 = 2³ × 5953¹

Step-2: Prime Factorization of 47644

Prime factors of 47644 are 2, 43, 277. Prime factorization of 47644 in exponential form is:

47644 = 2² × 43¹ × 277¹

Step-3: Factors of 47624

List of positive integer factors of 47624 that divides 47624 without a remainder.

1, 2, 4, 8, 5953, 11906, 23812

Step-4: Factors of 47644

List of positive integer factors of 47644 that divides 47624 without a remainder.

1, 2, 4, 43, 86, 172, 277, 554, 1108, 11911, 23822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47624 and 47644. The biggest common factor number is the GCF number.
So the greatest common factor 47624 and 47644 is 4.

Also check out the Least Common Multiple of 47624 and 47644