What is the Greatest Common Factor of 67425 and 67440?

Greatest common factor (GCF) of 67425 and 67440 is 15.

GCF(67425,67440) = 15

We will now calculate the prime factors of 67425 and 67440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67425 and 67440.

How to find the GCF of 67425 and 67440?

We will first find the prime factorization of 67425 and 67440. After we will calculate the factors of 67425 and 67440 and find the biggest common factor number .

Step-1: Prime Factorization of 67425

Prime factors of 67425 are 3, 5, 29, 31. Prime factorization of 67425 in exponential form is:

67425 = 3¹ × 5² × 29¹ × 31¹

Step-2: 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-3: Factors of 67425

List of positive integer factors of 67425 that divides 67425 without a remainder.

1, 3, 5, 15, 25, 29, 31, 75, 87, 93, 145, 155, 435, 465, 725, 775, 899, 2175, 2325, 2697, 4495, 13485, 22475

Step-4: Factors of 67440

List of positive integer factors of 67440 that divides 67425 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67425 and 67440. The biggest common factor number is the GCF number.
So the greatest common factor 67425 and 67440 is 15.

Also check out the Least Common Multiple of 67425 and 67440