What is the Greatest Common Factor of 99260 and 99270?

Greatest common factor (GCF) of 99260 and 99270 is 10.

GCF(99260,99270) = 10

We will now calculate the prime factors of 99260 and 99270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99260 and 99270.

How to find the GCF of 99260 and 99270?

We will first find the prime factorization of 99260 and 99270. After we will calculate the factors of 99260 and 99270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99270

Prime factors of 99270 are 2, 3, 5, 1103. Prime factorization of 99270 in exponential form is:

99270 = 2¹ × 3² × 5¹ × 1103¹

Step-3: Factors of 99260

List of positive integer factors of 99260 that divides 99260 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

Step-4: Factors of 99270

List of positive integer factors of 99270 that divides 99260 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1103, 2206, 3309, 5515, 6618, 9927, 11030, 16545, 19854, 33090, 49635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99260 and 99270. The biggest common factor number is the GCF number.
So the greatest common factor 99260 and 99270 is 10.

Also check out the Least Common Multiple of 99260 and 99270