What is the Greatest Common Factor of 42462 and 42480?

Greatest common factor (GCF) of 42462 and 42480 is 18.

GCF(42462,42480) = 18

We will now calculate the prime factors of 42462 and 42480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42462 and 42480.

How to find the GCF of 42462 and 42480?

We will first find the prime factorization of 42462 and 42480. After we will calculate the factors of 42462 and 42480 and find the biggest common factor number .

Step-1: Prime Factorization of 42462

Prime factors of 42462 are 2, 3, 7, 337. Prime factorization of 42462 in exponential form is:

42462 = 2¹ × 3² × 7¹ × 337¹

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 42462

List of positive integer factors of 42462 that divides 42462 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 337, 674, 1011, 2022, 2359, 3033, 4718, 6066, 7077, 14154, 21231

Step-4: Factors of 42480

List of positive integer factors of 42480 that divides 42462 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 42462 and 42480. The biggest common factor number is the GCF number.
So the greatest common factor 42462 and 42480 is 18.

Also check out the Least Common Multiple of 42462 and 42480