What is the Greatest Common Factor of 42467 and 42480?

Greatest common factor (GCF) of 42467 and 42480 is 1.

GCF(42467,42480) = 1

We will now calculate the prime factors of 42467 and 42480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42467 and 42480.

How to find the GCF of 42467 and 42480?

We will first find the prime factorization of 42467 and 42480. After we will calculate the factors of 42467 and 42480 and find the biggest common factor number .

Step-1: Prime Factorization of 42467

Prime factors of 42467 are 42467. Prime factorization of 42467 in exponential form is:

42467 = 42467¹

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 42467

List of positive integer factors of 42467 that divides 42467 without a remainder.

Step-4: Factors of 42480

List of positive integer factors of 42480 that divides 42467 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 42467 and 42480. The biggest common factor number is the GCF number.
So the greatest common factor 42467 and 42480 is 1.

Also check out the Least Common Multiple of 42467 and 42480