What is the Greatest Common Factor of 69248 and 69267?

Greatest common factor (GCF) of 69248 and 69267 is 1.

GCF(69248,69267) = 1

We will now calculate the prime factors of 69248 and 69267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69248 and 69267.

How to find the GCF of 69248 and 69267?

We will first find the prime factorization of 69248 and 69267. After we will calculate the factors of 69248 and 69267 and find the biggest common factor number .

Step-1: Prime Factorization of 69248

Prime factors of 69248 are 2, 541. Prime factorization of 69248 in exponential form is:

69248 = 2⁷ × 541¹

Step-2: Prime Factorization of 69267

Prime factors of 69267 are 3, 11, 2099. Prime factorization of 69267 in exponential form is:

69267 = 3¹ × 11¹ × 2099¹

Step-3: Factors of 69248

List of positive integer factors of 69248 that divides 69248 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 541, 1082, 2164, 4328, 8656, 17312, 34624

Step-4: Factors of 69267

List of positive integer factors of 69267 that divides 69248 without a remainder.

1, 3, 11, 33, 2099, 6297, 23089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69248 and 69267. The biggest common factor number is the GCF number.
So the greatest common factor 69248 and 69267 is 1.

Also check out the Least Common Multiple of 69248 and 69267