What is the Greatest Common Factor of 67440 and 67455?

Greatest common factor (GCF) of 67440 and 67455 is 15.

GCF(67440,67455) = 15

We will now calculate the prime factors of 67440 and 67455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67440 and 67455.

How to find the GCF of 67440 and 67455?

We will first find the prime factorization of 67440 and 67455. After we will calculate the factors of 67440 and 67455 and find the biggest common factor number .

Step-1: Prime Factorization of 67440

Prime factors of 67440 are 2, 3, 5, 281. Prime factorization of 67440 in exponential form is:

67440 = 2⁴ × 3¹ × 5¹ × 281¹

Step-2: Prime Factorization of 67455

Prime factors of 67455 are 3, 5, 1499. Prime factorization of 67455 in exponential form is:

67455 = 3² × 5¹ × 1499¹

Step-3: Factors of 67440

List of positive integer factors of 67440 that divides 67440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 281, 562, 843, 1124, 1405, 1686, 2248, 2810, 3372, 4215, 4496, 5620, 6744, 8430, 11240, 13488, 16860, 22480, 33720

Step-4: Factors of 67455

List of positive integer factors of 67455 that divides 67440 without a remainder.

1, 3, 5, 9, 15, 45, 1499, 4497, 7495, 13491, 22485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67440 and 67455. The biggest common factor number is the GCF number.
So the greatest common factor 67440 and 67455 is 15.

Also check out the Least Common Multiple of 67440 and 67455