What is the Greatest Common Factor of 67440 and 67456?

Greatest common factor (GCF) of 67440 and 67456 is 16.

GCF(67440,67456) = 16

We will now calculate the prime factors of 67440 and 67456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67440 and 67456.

How to find the GCF of 67440 and 67456?

We will first find the prime factorization of 67440 and 67456. After we will calculate the factors of 67440 and 67456 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 67456

Prime factors of 67456 are 2, 17, 31. Prime factorization of 67456 in exponential form is:

67456 = 2⁷ × 17¹ × 31¹

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 67456

List of positive integer factors of 67456 that divides 67440 without a remainder.

1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 64, 68, 124, 128, 136, 248, 272, 496, 527, 544, 992, 1054, 1088, 1984, 2108, 2176, 3968, 4216, 8432, 16864, 33728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67440 and 67456. The biggest common factor number is the GCF number.
So the greatest common factor 67440 and 67456 is 16.

Also check out the Least Common Multiple of 67440 and 67456