What is the Greatest Common Factor of 47457 and 47463?

Greatest common factor (GCF) of 47457 and 47463 is 3.

GCF(47457,47463) = 3

We will now calculate the prime factors of 47457 and 47463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47457 and 47463.

How to find the GCF of 47457 and 47463?

We will first find the prime factorization of 47457 and 47463. After we will calculate the factors of 47457 and 47463 and find the biggest common factor number .

Step-1: Prime Factorization of 47457

Prime factors of 47457 are 3, 5273. Prime factorization of 47457 in exponential form is:

47457 = 3² × 5273¹

Step-2: Prime Factorization of 47463

Prime factors of 47463 are 3, 13, 1217. Prime factorization of 47463 in exponential form is:

47463 = 3¹ × 13¹ × 1217¹

Step-3: Factors of 47457

List of positive integer factors of 47457 that divides 47457 without a remainder.

1, 3, 9, 5273, 15819

Step-4: Factors of 47463

List of positive integer factors of 47463 that divides 47457 without a remainder.

1, 3, 13, 39, 1217, 3651, 15821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47457 and 47463. The biggest common factor number is the GCF number.
So the greatest common factor 47457 and 47463 is 3.

Also check out the Least Common Multiple of 47457 and 47463