What is the Greatest Common Factor of 67440 and 67448?

Greatest common factor (GCF) of 67440 and 67448 is 8.

GCF(67440,67448) = 8

We will now calculate the prime factors of 67440 and 67448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67440 and 67448.

How to find the GCF of 67440 and 67448?

We will first find the prime factorization of 67440 and 67448. After we will calculate the factors of 67440 and 67448 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 67448

Prime factors of 67448 are 2, 8431. Prime factorization of 67448 in exponential form is:

67448 = 2³ × 8431¹

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 67448

List of positive integer factors of 67448 that divides 67440 without a remainder.

1, 2, 4, 8, 8431, 16862, 33724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67440 and 67448. The biggest common factor number is the GCF number.
So the greatest common factor 67440 and 67448 is 8.

Also check out the Least Common Multiple of 67440 and 67448