What is the Greatest Common Factor of 42447 and 42456?

Greatest common factor (GCF) of 42447 and 42456 is 3.

GCF(42447,42456) = 3

We will now calculate the prime factors of 42447 and 42456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42447 and 42456.

How to find the GCF of 42447 and 42456?

We will first find the prime factorization of 42447 and 42456. After we will calculate the factors of 42447 and 42456 and find the biggest common factor number .

Step-1: Prime Factorization of 42447

Prime factors of 42447 are 3, 14149. Prime factorization of 42447 in exponential form is:

42447 = 3¹ × 14149¹

Step-2: Prime Factorization of 42456

Prime factors of 42456 are 2, 3, 29, 61. Prime factorization of 42456 in exponential form is:

42456 = 2³ × 3¹ × 29¹ × 61¹

Step-3: Factors of 42447

List of positive integer factors of 42447 that divides 42447 without a remainder.

1, 3, 14149

Step-4: Factors of 42456

List of positive integer factors of 42456 that divides 42447 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 61, 87, 116, 122, 174, 183, 232, 244, 348, 366, 488, 696, 732, 1464, 1769, 3538, 5307, 7076, 10614, 14152, 21228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42447 and 42456. The biggest common factor number is the GCF number.
So the greatest common factor 42447 and 42456 is 3.

Also check out the Least Common Multiple of 42447 and 42456