What is the Greatest Common Factor of 47636 and 47644?

Greatest common factor (GCF) of 47636 and 47644 is 4.

GCF(47636,47644) = 4

We will now calculate the prime factors of 47636 and 47644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47636 and 47644.

How to find the GCF of 47636 and 47644?

We will first find the prime factorization of 47636 and 47644. After we will calculate the factors of 47636 and 47644 and find the biggest common factor number .

Step-1: Prime Factorization of 47636

Prime factors of 47636 are 2, 11909. Prime factorization of 47636 in exponential form is:

47636 = 2² × 11909¹

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 47636

List of positive integer factors of 47636 that divides 47636 without a remainder.

1, 2, 4, 11909, 23818

Step-4: Factors of 47644

List of positive integer factors of 47644 that divides 47636 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 47636 and 47644. The biggest common factor number is the GCF number.
So the greatest common factor 47636 and 47644 is 4.

Also check out the Least Common Multiple of 47636 and 47644