What is the Greatest Common Factor of 47906 and 47921?

Greatest common factor (GCF) of 47906 and 47921 is 1.

GCF(47906,47921) = 1

We will now calculate the prime factors of 47906 and 47921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47906 and 47921.

How to find the GCF of 47906 and 47921?

We will first find the prime factorization of 47906 and 47921. After we will calculate the factors of 47906 and 47921 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 47921

Prime factors of 47921 are 173, 277. Prime factorization of 47921 in exponential form is:

47921 = 173¹ × 277¹

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 47921

List of positive integer factors of 47921 that divides 47906 without a remainder.

1, 173, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47906 and 47921. The biggest common factor number is the GCF number.
So the greatest common factor 47906 and 47921 is 1.

Also check out the Least Common Multiple of 47906 and 47921