What is the Greatest Common Factor of 47450 and 47463?

Greatest common factor (GCF) of 47450 and 47463 is 13.

GCF(47450,47463) = 13

We will now calculate the prime factors of 47450 and 47463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47450 and 47463.

How to find the GCF of 47450 and 47463?

We will first find the prime factorization of 47450 and 47463. After we will calculate the factors of 47450 and 47463 and find the biggest common factor number .

Step-1: Prime Factorization of 47450

Prime factors of 47450 are 2, 5, 13, 73. Prime factorization of 47450 in exponential form is:

47450 = 2¹ × 5² × 13¹ × 73¹

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 47450

List of positive integer factors of 47450 that divides 47450 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 73, 130, 146, 325, 365, 650, 730, 949, 1825, 1898, 3650, 4745, 9490, 23725

Step-4: Factors of 47463

List of positive integer factors of 47463 that divides 47450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47450 and 47463. The biggest common factor number is the GCF number.
So the greatest common factor 47450 and 47463 is 13.

Also check out the Least Common Multiple of 47450 and 47463