What is the Greatest Common Factor of 47467 and 47481?

Greatest common factor (GCF) of 47467 and 47481 is 7.

GCF(47467,47481) = 7

We will now calculate the prime factors of 47467 and 47481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47467 and 47481.

How to find the GCF of 47467 and 47481?

We will first find the prime factorization of 47467 and 47481. After we will calculate the factors of 47467 and 47481 and find the biggest common factor number .

Step-1: Prime Factorization of 47467

Prime factors of 47467 are 7, 6781. Prime factorization of 47467 in exponential form is:

47467 = 7¹ × 6781¹

Step-2: Prime Factorization of 47481

Prime factors of 47481 are 3, 7, 17, 19. Prime factorization of 47481 in exponential form is:

47481 = 3¹ × 7² × 17¹ × 19¹

Step-3: Factors of 47467

List of positive integer factors of 47467 that divides 47467 without a remainder.

1, 7, 6781

Step-4: Factors of 47481

List of positive integer factors of 47481 that divides 47467 without a remainder.

1, 3, 7, 17, 19, 21, 49, 51, 57, 119, 133, 147, 323, 357, 399, 833, 931, 969, 2261, 2499, 2793, 6783, 15827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47467 and 47481. The biggest common factor number is the GCF number.
So the greatest common factor 47467 and 47481 is 7.

Also check out the Least Common Multiple of 47467 and 47481