What is the Greatest Common Factor of 99280 and 99290?

Greatest common factor (GCF) of 99280 and 99290 is 10.

GCF(99280,99290) = 10

We will now calculate the prime factors of 99280 and 99290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99280 and 99290.

How to find the GCF of 99280 and 99290?

We will first find the prime factorization of 99280 and 99290. After we will calculate the factors of 99280 and 99290 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 99290

Prime factors of 99290 are 2, 5, 9929. Prime factorization of 99290 in exponential form is:

99290 = 2¹ × 5¹ × 9929¹

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 99290

List of positive integer factors of 99290 that divides 99280 without a remainder.

1, 2, 5, 10, 9929, 19858, 49645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99280 and 99290. The biggest common factor number is the GCF number.
So the greatest common factor 99280 and 99290 is 10.

Also check out the Least Common Multiple of 99280 and 99290