What is the Greatest Common Factor of 99280 and 99295?

Greatest common factor (GCF) of 99280 and 99295 is 5.

GCF(99280,99295) = 5

We will now calculate the prime factors of 99280 and 99295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99280 and 99295.

How to find the GCF of 99280 and 99295?

We will first find the prime factorization of 99280 and 99295. After we will calculate the factors of 99280 and 99295 and find the biggest common factor number .

Step-1: Prime Factorization of 99280

Prime factors of 99280 are 2, 5, 17, 73. Prime factorization of 99280 in exponential form is:

99280 = 2⁴ × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 99295

Prime factors of 99295 are 5, 7, 2837. Prime factorization of 99295 in exponential form is:

99295 = 5¹ × 7¹ × 2837¹

Step-3: Factors of 99280

List of positive integer factors of 99280 that divides 99280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 73, 80, 85, 136, 146, 170, 272, 292, 340, 365, 584, 680, 730, 1168, 1241, 1360, 1460, 2482, 2920, 4964, 5840, 6205, 9928, 12410, 19856, 24820, 49640

Step-4: Factors of 99295

List of positive integer factors of 99295 that divides 99280 without a remainder.

1, 5, 7, 35, 2837, 14185, 19859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99280 and 99295. The biggest common factor number is the GCF number.
So the greatest common factor 99280 and 99295 is 5.

Also check out the Least Common Multiple of 99280 and 99295