What is the Greatest Common Factor of 98940 and 98950?

Greatest common factor (GCF) of 98940 and 98950 is 10.

GCF(98940,98950) = 10

We will now calculate the prime factors of 98940 and 98950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98940 and 98950.

How to find the GCF of 98940 and 98950?

We will first find the prime factorization of 98940 and 98950. After we will calculate the factors of 98940 and 98950 and find the biggest common factor number .

Step-1: Prime Factorization of 98940

Prime factors of 98940 are 2, 3, 5, 17, 97. Prime factorization of 98940 in exponential form is:

98940 = 2² × 3¹ × 5¹ × 17¹ × 97¹

Step-2: Prime Factorization of 98950

Prime factors of 98950 are 2, 5, 1979. Prime factorization of 98950 in exponential form is:

98950 = 2¹ × 5² × 1979¹

Step-3: Factors of 98940

List of positive integer factors of 98940 that divides 98940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 97, 102, 170, 194, 204, 255, 291, 340, 388, 485, 510, 582, 970, 1020, 1164, 1455, 1649, 1940, 2910, 3298, 4947, 5820, 6596, 8245, 9894, 16490, 19788, 24735, 32980, 49470

Step-4: Factors of 98950

List of positive integer factors of 98950 that divides 98940 without a remainder.

1, 2, 5, 10, 25, 50, 1979, 3958, 9895, 19790, 49475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98940 and 98950. The biggest common factor number is the GCF number.
So the greatest common factor 98940 and 98950 is 10.

Also check out the Least Common Multiple of 98940 and 98950