What is the Greatest Common Factor of 69237 and 69248?

Greatest common factor (GCF) of 69237 and 69248 is 1.

GCF(69237,69248) = 1

We will now calculate the prime factors of 69237 and 69248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69237 and 69248.

How to find the GCF of 69237 and 69248?

We will first find the prime factorization of 69237 and 69248. After we will calculate the factors of 69237 and 69248 and find the biggest common factor number .

Step-1: Prime Factorization of 69237

Prime factors of 69237 are 3, 7, 157. Prime factorization of 69237 in exponential form is:

69237 = 3² × 7² × 157¹

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 69237

List of positive integer factors of 69237 that divides 69237 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 157, 441, 471, 1099, 1413, 3297, 7693, 9891, 23079

Step-4: Factors of 69248

List of positive integer factors of 69248 that divides 69237 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 69237 and 69248. The biggest common factor number is the GCF number.
So the greatest common factor 69237 and 69248 is 1.

Also check out the Least Common Multiple of 69237 and 69248