What is the Greatest Common Factor of 47906 and 47920?

Greatest common factor (GCF) of 47906 and 47920 is 2.

GCF(47906,47920) = 2

We will now calculate the prime factors of 47906 and 47920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47906 and 47920.

How to find the GCF of 47906 and 47920?

We will first find the prime factorization of 47906 and 47920. After we will calculate the factors of 47906 and 47920 and find the biggest common factor number .

Step-1: Prime Factorization of 47906

Prime factors of 47906 are 2, 17, 1409. Prime factorization of 47906 in exponential form is:

47906 = 2¹ × 17¹ × 1409¹

Step-2: Prime Factorization of 47920

Prime factors of 47920 are 2, 5, 599. Prime factorization of 47920 in exponential form is:

47920 = 2⁴ × 5¹ × 599¹

Step-3: Factors of 47906

List of positive integer factors of 47906 that divides 47906 without a remainder.

1, 2, 17, 34, 1409, 2818, 23953

Step-4: Factors of 47920

List of positive integer factors of 47920 that divides 47906 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 599, 1198, 2396, 2995, 4792, 5990, 9584, 11980, 23960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47906 and 47920. The biggest common factor number is the GCF number.
So the greatest common factor 47906 and 47920 is 2.

Also check out the Least Common Multiple of 47906 and 47920