What is the Greatest Common Factor of 47938 and 47944?

Greatest common factor (GCF) of 47938 and 47944 is 2.

GCF(47938,47944) = 2

We will now calculate the prime factors of 47938 and 47944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47938 and 47944.

How to find the GCF of 47938 and 47944?

We will first find the prime factorization of 47938 and 47944. After we will calculate the factors of 47938 and 47944 and find the biggest common factor number .

Step-1: Prime Factorization of 47938

Prime factors of 47938 are 2, 11, 2179. Prime factorization of 47938 in exponential form is:

47938 = 2¹ × 11¹ × 2179¹

Step-2: Prime Factorization of 47944

Prime factors of 47944 are 2, 13, 461. Prime factorization of 47944 in exponential form is:

47944 = 2³ × 13¹ × 461¹

Step-3: Factors of 47938

List of positive integer factors of 47938 that divides 47938 without a remainder.

1, 2, 11, 22, 2179, 4358, 23969

Step-4: Factors of 47944

List of positive integer factors of 47944 that divides 47938 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 461, 922, 1844, 3688, 5993, 11986, 23972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47938 and 47944. The biggest common factor number is the GCF number.
So the greatest common factor 47938 and 47944 is 2.

Also check out the Least Common Multiple of 47938 and 47944