What is the Greatest Common Factor of 62448 and 62463?

Greatest common factor (GCF) of 62448 and 62463 is 3.

GCF(62448,62463) = 3

We will now calculate the prime factors of 62448 and 62463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62448 and 62463.

How to find the GCF of 62448 and 62463?

We will first find the prime factorization of 62448 and 62463. After we will calculate the factors of 62448 and 62463 and find the biggest common factor number .

Step-1: Prime Factorization of 62448

Prime factors of 62448 are 2, 3, 1301. Prime factorization of 62448 in exponential form is:

62448 = 2⁴ × 3¹ × 1301¹

Step-2: Prime Factorization of 62463

Prime factors of 62463 are 3, 47, 443. Prime factorization of 62463 in exponential form is:

62463 = 3¹ × 47¹ × 443¹

Step-3: Factors of 62448

List of positive integer factors of 62448 that divides 62448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1301, 2602, 3903, 5204, 7806, 10408, 15612, 20816, 31224

Step-4: Factors of 62463

List of positive integer factors of 62463 that divides 62448 without a remainder.

1, 3, 47, 141, 443, 1329, 20821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62448 and 62463. The biggest common factor number is the GCF number.
So the greatest common factor 62448 and 62463 is 3.

Also check out the Least Common Multiple of 62448 and 62463