What is the Greatest Common Factor of 67440 and 67460?

Greatest common factor (GCF) of 67440 and 67460 is 20.

GCF(67440,67460) = 20

We will now calculate the prime factors of 67440 and 67460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67440 and 67460.

How to find the GCF of 67440 and 67460?

We will first find the prime factorization of 67440 and 67460. After we will calculate the factors of 67440 and 67460 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 67460

Prime factors of 67460 are 2, 5, 3373. Prime factorization of 67460 in exponential form is:

67460 = 2² × 5¹ × 3373¹

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 67460

List of positive integer factors of 67460 that divides 67440 without a remainder.

1, 2, 4, 5, 10, 20, 3373, 6746, 13492, 16865, 33730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67440 and 67460. The biggest common factor number is the GCF number.
So the greatest common factor 67440 and 67460 is 20.

Also check out the Least Common Multiple of 67440 and 67460