What is the Greatest Common Factor of 67440 and 67452?

Greatest common factor (GCF) of 67440 and 67452 is 12.

GCF(67440,67452) = 12

We will now calculate the prime factors of 67440 and 67452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67440 and 67452.

How to find the GCF of 67440 and 67452?

We will first find the prime factorization of 67440 and 67452. After we will calculate the factors of 67440 and 67452 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 67452

Prime factors of 67452 are 2, 3, 7, 11, 73. Prime factorization of 67452 in exponential form is:

67452 = 2² × 3¹ × 7¹ × 11¹ × 73¹

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 67452

List of positive integer factors of 67452 that divides 67440 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 73, 77, 84, 132, 146, 154, 219, 231, 292, 308, 438, 462, 511, 803, 876, 924, 1022, 1533, 1606, 2044, 2409, 3066, 3212, 4818, 5621, 6132, 9636, 11242, 16863, 22484, 33726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67440 and 67452. The biggest common factor number is the GCF number.
So the greatest common factor 67440 and 67452 is 12.

Also check out the Least Common Multiple of 67440 and 67452