What is the Greatest Common Factor of 67440 and 67445?

Greatest common factor (GCF) of 67440 and 67445 is 5.

GCF(67440,67445) = 5

We will now calculate the prime factors of 67440 and 67445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67440 and 67445.

How to find the GCF of 67440 and 67445?

We will first find the prime factorization of 67440 and 67445. After we will calculate the factors of 67440 and 67445 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 67445

Prime factors of 67445 are 5, 7, 41, 47. Prime factorization of 67445 in exponential form is:

67445 = 5¹ × 7¹ × 41¹ × 47¹

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 67445

List of positive integer factors of 67445 that divides 67440 without a remainder.

1, 5, 7, 35, 41, 47, 205, 235, 287, 329, 1435, 1645, 1927, 9635, 13489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67440 and 67445. The biggest common factor number is the GCF number.
So the greatest common factor 67440 and 67445 is 5.

Also check out the Least Common Multiple of 67440 and 67445