What is the Greatest Common Factor of 99248 and 99260?

Greatest common factor (GCF) of 99248 and 99260 is 4.

GCF(99248,99260) = 4

We will now calculate the prime factors of 99248 and 99260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99248 and 99260.

How to find the GCF of 99248 and 99260?

We will first find the prime factorization of 99248 and 99260. After we will calculate the factors of 99248 and 99260 and find the biggest common factor number .

Step-1: Prime Factorization of 99248

Prime factors of 99248 are 2, 6203. Prime factorization of 99248 in exponential form is:

99248 = 2⁴ × 6203¹

Step-2: Prime Factorization of 99260

Prime factors of 99260 are 2, 5, 7, 709. Prime factorization of 99260 in exponential form is:

99260 = 2² × 5¹ × 7¹ × 709¹

Step-3: Factors of 99248

List of positive integer factors of 99248 that divides 99248 without a remainder.

1, 2, 4, 8, 16, 6203, 12406, 24812, 49624

Step-4: Factors of 99260

List of positive integer factors of 99260 that divides 99248 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 709, 1418, 2836, 3545, 4963, 7090, 9926, 14180, 19852, 24815, 49630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99248 and 99260. The biggest common factor number is the GCF number.
So the greatest common factor 99248 and 99260 is 4.

Also check out the Least Common Multiple of 99248 and 99260