What is the Greatest Common Factor of 67229 and 67248?

Greatest common factor (GCF) of 67229 and 67248 is 1.

GCF(67229,67248) = 1

We will now calculate the prime factors of 67229 and 67248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67229 and 67248.

How to find the GCF of 67229 and 67248?

We will first find the prime factorization of 67229 and 67248. After we will calculate the factors of 67229 and 67248 and find the biggest common factor number .

Step-1: Prime Factorization of 67229

Prime factors of 67229 are 23, 37, 79. Prime factorization of 67229 in exponential form is:

67229 = 23¹ × 37¹ × 79¹

Step-2: 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-3: Factors of 67229

List of positive integer factors of 67229 that divides 67229 without a remainder.

1, 23, 37, 79, 851, 1817, 2923

Step-4: Factors of 67248

List of positive integer factors of 67248 that divides 67229 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67229 and 67248. The biggest common factor number is the GCF number.
So the greatest common factor 67229 and 67248 is 1.

Also check out the Least Common Multiple of 67229 and 67248