What is the Greatest Common Factor of 47924 and 47932?

Greatest common factor (GCF) of 47924 and 47932 is 4.

GCF(47924,47932) = 4

We will now calculate the prime factors of 47924 and 47932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47924 and 47932.

How to find the GCF of 47924 and 47932?

We will first find the prime factorization of 47924 and 47932. After we will calculate the factors of 47924 and 47932 and find the biggest common factor number .

Step-1: Prime Factorization of 47924

Prime factors of 47924 are 2, 11981. Prime factorization of 47924 in exponential form is:

47924 = 2² × 11981¹

Step-2: Prime Factorization of 47932

Prime factors of 47932 are 2, 23, 521. Prime factorization of 47932 in exponential form is:

47932 = 2² × 23¹ × 521¹

Step-3: Factors of 47924

List of positive integer factors of 47924 that divides 47924 without a remainder.

1, 2, 4, 11981, 23962

Step-4: Factors of 47932

List of positive integer factors of 47932 that divides 47924 without a remainder.

1, 2, 4, 23, 46, 92, 521, 1042, 2084, 11983, 23966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47924 and 47932. The biggest common factor number is the GCF number.
So the greatest common factor 47924 and 47932 is 4.

Also check out the Least Common Multiple of 47924 and 47932