What is the Greatest Common Factor of 98910 and 98920?

Greatest common factor (GCF) of 98910 and 98920 is 10.

GCF(98910,98920) = 10

We will now calculate the prime factors of 98910 and 98920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98910 and 98920.

How to find the GCF of 98910 and 98920?

We will first find the prime factorization of 98910 and 98920. After we will calculate the factors of 98910 and 98920 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98920

Prime factors of 98920 are 2, 5, 2473. Prime factorization of 98920 in exponential form is:

98920 = 2³ × 5¹ × 2473¹

Step-3: Factors of 98910

List of positive integer factors of 98910 that divides 98910 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

Step-4: Factors of 98920

List of positive integer factors of 98920 that divides 98910 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2473, 4946, 9892, 12365, 19784, 24730, 49460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98910 and 98920. The biggest common factor number is the GCF number.
So the greatest common factor 98910 and 98920 is 10.

Also check out the Least Common Multiple of 98910 and 98920