What is the Greatest Common Factor of 69248 and 69254?

Greatest common factor (GCF) of 69248 and 69254 is 2.

GCF(69248,69254) = 2

We will now calculate the prime factors of 69248 and 69254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69248 and 69254.

How to find the GCF of 69248 and 69254?

We will first find the prime factorization of 69248 and 69254. After we will calculate the factors of 69248 and 69254 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 69254

Prime factors of 69254 are 2, 31, 1117. Prime factorization of 69254 in exponential form is:

69254 = 2¹ × 31¹ × 1117¹

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 69254

List of positive integer factors of 69254 that divides 69248 without a remainder.

1, 2, 31, 62, 1117, 2234, 34627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69248 and 69254. The biggest common factor number is the GCF number.
So the greatest common factor 69248 and 69254 is 2.

Also check out the Least Common Multiple of 69248 and 69254