What is the Greatest Common Factor of 98900 and 98910?

Greatest common factor (GCF) of 98900 and 98910 is 10.

GCF(98900,98910) = 10

We will now calculate the prime factors of 98900 and 98910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98900 and 98910.

How to find the GCF of 98900 and 98910?

We will first find the prime factorization of 98900 and 98910. After we will calculate the factors of 98900 and 98910 and find the biggest common factor number .

Step-1: Prime Factorization of 98900

Prime factors of 98900 are 2, 5, 23, 43. Prime factorization of 98900 in exponential form is:

98900 = 2² × 5² × 23¹ × 43¹

Step-2: Prime Factorization of 98910

Prime factors of 98910 are 2, 3, 5, 7, 157. Prime factorization of 98910 in exponential form is:

98910 = 2¹ × 3² × 5¹ × 7¹ × 157¹

Step-3: Factors of 98900

List of positive integer factors of 98900 that divides 98900 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 43, 46, 50, 86, 92, 100, 115, 172, 215, 230, 430, 460, 575, 860, 989, 1075, 1150, 1978, 2150, 2300, 3956, 4300, 4945, 9890, 19780, 24725, 49450

Step-4: Factors of 98910

List of positive integer factors of 98910 that divides 98900 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 157, 210, 314, 315, 471, 630, 785, 942, 1099, 1413, 1570, 2198, 2355, 2826, 3297, 4710, 5495, 6594, 7065, 9891, 10990, 14130, 16485, 19782, 32970, 49455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98900 and 98910. The biggest common factor number is the GCF number.
So the greatest common factor 98900 and 98910 is 10.

Also check out the Least Common Multiple of 98900 and 98910