What is the Greatest Common Factor of 67248 and 67256?

Greatest common factor (GCF) of 67248 and 67256 is 8.

GCF(67248,67256) = 8

We will now calculate the prime factors of 67248 and 67256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67248 and 67256.

How to find the GCF of 67248 and 67256?

We will first find the prime factorization of 67248 and 67256. After we will calculate the factors of 67248 and 67256 and find the biggest common factor number .

Step-1: Prime Factorization of 67248

Prime factors of 67248 are 2, 3, 467. Prime factorization of 67248 in exponential form is:

67248 = 2⁴ × 3² × 467¹

Step-2: Prime Factorization of 67256

Prime factors of 67256 are 2, 7, 1201. Prime factorization of 67256 in exponential form is:

67256 = 2³ × 7¹ × 1201¹

Step-3: Factors of 67248

List of positive integer factors of 67248 that divides 67248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 467, 934, 1401, 1868, 2802, 3736, 4203, 5604, 7472, 8406, 11208, 16812, 22416, 33624

Step-4: Factors of 67256

List of positive integer factors of 67256 that divides 67248 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1201, 2402, 4804, 8407, 9608, 16814, 33628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67248 and 67256. The biggest common factor number is the GCF number.
So the greatest common factor 67248 and 67256 is 8.

Also check out the Least Common Multiple of 67248 and 67256