What is the Greatest Common Factor of 69248 and 69260?

Greatest common factor (GCF) of 69248 and 69260 is 4.

GCF(69248,69260) = 4

We will now calculate the prime factors of 69248 and 69260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69248 and 69260.

How to find the GCF of 69248 and 69260?

We will first find the prime factorization of 69248 and 69260. After we will calculate the factors of 69248 and 69260 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 69260

Prime factors of 69260 are 2, 5, 3463. Prime factorization of 69260 in exponential form is:

69260 = 2² × 5¹ × 3463¹

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 69260

List of positive integer factors of 69260 that divides 69248 without a remainder.

1, 2, 4, 5, 10, 20, 3463, 6926, 13852, 17315, 34630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69248 and 69260. The biggest common factor number is the GCF number.
So the greatest common factor 69248 and 69260 is 4.

Also check out the Least Common Multiple of 69248 and 69260