What is the Greatest Common Factor of 62463 and 62478?

Greatest common factor (GCF) of 62463 and 62478 is 3.

GCF(62463,62478) = 3

We will now calculate the prime factors of 62463 and 62478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62463 and 62478.

How to find the GCF of 62463 and 62478?

We will first find the prime factorization of 62463 and 62478. After we will calculate the factors of 62463 and 62478 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62478

Prime factors of 62478 are 2, 3, 13, 89. Prime factorization of 62478 in exponential form is:

62478 = 2¹ × 3³ × 13¹ × 89¹

Step-3: Factors of 62463

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

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

Step-4: Factors of 62478

List of positive integer factors of 62478 that divides 62463 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 89, 117, 178, 234, 267, 351, 534, 702, 801, 1157, 1602, 2314, 2403, 3471, 4806, 6942, 10413, 20826, 31239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62463 and 62478. The biggest common factor number is the GCF number.
So the greatest common factor 62463 and 62478 is 3.

Also check out the Least Common Multiple of 62463 and 62478