What is the Greatest Common Factor of 67248 and 67259?

Greatest common factor (GCF) of 67248 and 67259 is 1.

GCF(67248,67259) = 1

We will now calculate the prime factors of 67248 and 67259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67248 and 67259.

How to find the GCF of 67248 and 67259?

We will first find the prime factorization of 67248 and 67259. After we will calculate the factors of 67248 and 67259 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 67259

Prime factors of 67259 are 103, 653. Prime factorization of 67259 in exponential form is:

67259 = 103¹ × 653¹

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 67259

List of positive integer factors of 67259 that divides 67248 without a remainder.

1, 103, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67248 and 67259. The biggest common factor number is the GCF number.
So the greatest common factor 67248 and 67259 is 1.

Also check out the Least Common Multiple of 67248 and 67259