What is the Greatest Common Factor of 42456 and 42460?

Greatest common factor (GCF) of 42456 and 42460 is 4.

GCF(42456,42460) = 4

We will now calculate the prime factors of 42456 and 42460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42456 and 42460.

How to find the GCF of 42456 and 42460?

We will first find the prime factorization of 42456 and 42460. After we will calculate the factors of 42456 and 42460 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42460

Prime factors of 42460 are 2, 5, 11, 193. Prime factorization of 42460 in exponential form is:

42460 = 2² × 5¹ × 11¹ × 193¹

Step-3: Factors of 42456

List of positive integer factors of 42456 that divides 42456 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

Step-4: Factors of 42460

List of positive integer factors of 42460 that divides 42456 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 193, 220, 386, 772, 965, 1930, 2123, 3860, 4246, 8492, 10615, 21230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42456 and 42460. The biggest common factor number is the GCF number.
So the greatest common factor 42456 and 42460 is 4.

Also check out the Least Common Multiple of 42456 and 42460