What is the Greatest Common Factor of 47463 and 47476?

Greatest common factor (GCF) of 47463 and 47476 is 13.

GCF(47463,47476) = 13

We will now calculate the prime factors of 47463 and 47476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47463 and 47476.

How to find the GCF of 47463 and 47476?

We will first find the prime factorization of 47463 and 47476. After we will calculate the factors of 47463 and 47476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47476

Prime factors of 47476 are 2, 11, 13, 83. Prime factorization of 47476 in exponential form is:

47476 = 2² × 11¹ × 13¹ × 83¹

Step-3: Factors of 47463

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

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

Step-4: Factors of 47476

List of positive integer factors of 47476 that divides 47463 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 83, 143, 166, 286, 332, 572, 913, 1079, 1826, 2158, 3652, 4316, 11869, 23738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47463 and 47476. The biggest common factor number is the GCF number.
So the greatest common factor 47463 and 47476 is 13.

Also check out the Least Common Multiple of 47463 and 47476