What is the Greatest Common Factor of 69234 and 69248?

Greatest common factor (GCF) of 69234 and 69248 is 2.

GCF(69234,69248) = 2

We will now calculate the prime factors of 69234 and 69248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69234 and 69248.

How to find the GCF of 69234 and 69248?

We will first find the prime factorization of 69234 and 69248. After we will calculate the factors of 69234 and 69248 and find the biggest common factor number .

Step-1: Prime Factorization of 69234

Prime factors of 69234 are 2, 3, 11, 1049. Prime factorization of 69234 in exponential form is:

69234 = 2¹ × 3¹ × 11¹ × 1049¹

Step-2: Prime Factorization of 69248

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

69248 = 2⁷ × 541¹

Step-3: Factors of 69234

List of positive integer factors of 69234 that divides 69234 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1049, 2098, 3147, 6294, 11539, 23078, 34617

Step-4: Factors of 69248

List of positive integer factors of 69248 that divides 69234 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69234 and 69248. The biggest common factor number is the GCF number.
So the greatest common factor 69234 and 69248 is 2.

Also check out the Least Common Multiple of 69234 and 69248