What is the Greatest Common Factor of 42480 and 42487?

Greatest common factor (GCF) of 42480 and 42487 is 1.

GCF(42480,42487) = 1

We will now calculate the prime factors of 42480 and 42487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42480 and 42487.

How to find the GCF of 42480 and 42487?

We will first find the prime factorization of 42480 and 42487. After we will calculate the factors of 42480 and 42487 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42487

Prime factors of 42487 are 42487. Prime factorization of 42487 in exponential form is:

42487 = 42487¹

Step-3: Factors of 42480

List of positive integer factors of 42480 that divides 42480 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

Step-4: Factors of 42487

List of positive integer factors of 42487 that divides 42480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42480 and 42487. The biggest common factor number is the GCF number.
So the greatest common factor 42480 and 42487 is 1.

Also check out the Least Common Multiple of 42480 and 42487