What is the Greatest Common Factor of 47738 and 47744?

Greatest common factor (GCF) of 47738 and 47744 is 2.

GCF(47738,47744) = 2

We will now calculate the prime factors of 47738 and 47744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47738 and 47744.

How to find the GCF of 47738 and 47744?

We will first find the prime factorization of 47738 and 47744. After we will calculate the factors of 47738 and 47744 and find the biggest common factor number .

Step-1: Prime Factorization of 47738

Prime factors of 47738 are 2, 23869. Prime factorization of 47738 in exponential form is:

47738 = 2¹ × 23869¹

Step-2: Prime Factorization of 47744

Prime factors of 47744 are 2, 373. Prime factorization of 47744 in exponential form is:

47744 = 2⁷ × 373¹

Step-3: Factors of 47738

List of positive integer factors of 47738 that divides 47738 without a remainder.

1, 2, 23869

Step-4: Factors of 47744

List of positive integer factors of 47744 that divides 47738 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 373, 746, 1492, 2984, 5968, 11936, 23872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47738 and 47744. The biggest common factor number is the GCF number.
So the greatest common factor 47738 and 47744 is 2.

Also check out the Least Common Multiple of 47738 and 47744