What is the Greatest Common Factor of 42468 and 42480?

Greatest common factor (GCF) of 42468 and 42480 is 12.

GCF(42468,42480) = 12

We will now calculate the prime factors of 42468 and 42480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42468 and 42480.

How to find the GCF of 42468 and 42480?

We will first find the prime factorization of 42468 and 42480. After we will calculate the factors of 42468 and 42480 and find the biggest common factor number .

Step-1: Prime Factorization of 42468

Prime factors of 42468 are 2, 3, 3539. Prime factorization of 42468 in exponential form is:

42468 = 2² × 3¹ × 3539¹

Step-2: Prime Factorization of 42480

Prime factors of 42480 are 2, 3, 5, 59. Prime factorization of 42480 in exponential form is:

42480 = 2⁴ × 3² × 5¹ × 59¹

Step-3: Factors of 42468

List of positive integer factors of 42468 that divides 42468 without a remainder.

1, 2, 3, 4, 6, 12, 3539, 7078, 10617, 14156, 21234

Step-4: Factors of 42480

List of positive integer factors of 42480 that divides 42468 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 59, 60, 72, 80, 90, 118, 120, 144, 177, 180, 236, 240, 295, 354, 360, 472, 531, 590, 708, 720, 885, 944, 1062, 1180, 1416, 1770, 2124, 2360, 2655, 2832, 3540, 4248, 4720, 5310, 7080, 8496, 10620, 14160, 21240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42468 and 42480. The biggest common factor number is the GCF number.
So the greatest common factor 42468 and 42480 is 12.

Also check out the Least Common Multiple of 42468 and 42480