What is the Greatest Common Factor of 42480 and 42495?

Greatest common factor (GCF) of 42480 and 42495 is 15.

GCF(42480,42495) = 15

We will now calculate the prime factors of 42480 and 42495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42480 and 42495.

How to find the GCF of 42480 and 42495?

We will first find the prime factorization of 42480 and 42495. After we will calculate the factors of 42480 and 42495 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 42495

Prime factors of 42495 are 3, 5, 2833. Prime factorization of 42495 in exponential form is:

42495 = 3¹ × 5¹ × 2833¹

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 42495

List of positive integer factors of 42495 that divides 42480 without a remainder.

1, 3, 5, 15, 2833, 8499, 14165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42480 and 42495. The biggest common factor number is the GCF number.
So the greatest common factor 42480 and 42495 is 15.

Also check out the Least Common Multiple of 42480 and 42495