What is the Greatest Common Factor of 47444 and 47464?

Greatest common factor (GCF) of 47444 and 47464 is 4.

GCF(47444,47464) = 4

We will now calculate the prime factors of 47444 and 47464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47444 and 47464.

How to find the GCF of 47444 and 47464?

We will first find the prime factorization of 47444 and 47464. After we will calculate the factors of 47444 and 47464 and find the biggest common factor number .

Step-1: Prime Factorization of 47444

Prime factors of 47444 are 2, 29, 409. Prime factorization of 47444 in exponential form is:

47444 = 2² × 29¹ × 409¹

Step-2: Prime Factorization of 47464

Prime factors of 47464 are 2, 17, 349. Prime factorization of 47464 in exponential form is:

47464 = 2³ × 17¹ × 349¹

Step-3: Factors of 47444

List of positive integer factors of 47444 that divides 47444 without a remainder.

1, 2, 4, 29, 58, 116, 409, 818, 1636, 11861, 23722

Step-4: Factors of 47464

List of positive integer factors of 47464 that divides 47444 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 349, 698, 1396, 2792, 5933, 11866, 23732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47444 and 47464. The biggest common factor number is the GCF number.
So the greatest common factor 47444 and 47464 is 4.

Also check out the Least Common Multiple of 47444 and 47464