What is the Greatest Common Factor of 99253 and 99260?

Greatest common factor (GCF) of 99253 and 99260 is 7.

GCF(99253,99260) = 7

We will now calculate the prime factors of 99253 and 99260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99253 and 99260.

How to find the GCF of 99253 and 99260?

We will first find the prime factorization of 99253 and 99260. After we will calculate the factors of 99253 and 99260 and find the biggest common factor number .

Step-1: Prime Factorization of 99253

Prime factors of 99253 are 7, 11, 1289. Prime factorization of 99253 in exponential form is:

99253 = 7¹ × 11¹ × 1289¹

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 99253

List of positive integer factors of 99253 that divides 99253 without a remainder.

1, 7, 11, 77, 1289, 9023, 14179

Step-4: Factors of 99260

List of positive integer factors of 99260 that divides 99253 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 99253 and 99260. The biggest common factor number is the GCF number.
So the greatest common factor 99253 and 99260 is 7.

Also check out the Least Common Multiple of 99253 and 99260