What is the Greatest Common Factor of 98500 and 98514?

Greatest common factor (GCF) of 98500 and 98514 is 2.

GCF(98500,98514) = 2

We will now calculate the prime factors of 98500 and 98514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98500 and 98514.

How to find the GCF of 98500 and 98514?

We will first find the prime factorization of 98500 and 98514. After we will calculate the factors of 98500 and 98514 and find the biggest common factor number .

Step-1: Prime Factorization of 98500

Prime factors of 98500 are 2, 5, 197. Prime factorization of 98500 in exponential form is:

98500 = 2² × 5³ × 197¹

Step-2: Prime Factorization of 98514

Prime factors of 98514 are 2, 3, 13, 421. Prime factorization of 98514 in exponential form is:

98514 = 2¹ × 3² × 13¹ × 421¹

Step-3: Factors of 98500

List of positive integer factors of 98500 that divides 98500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 197, 250, 394, 500, 788, 985, 1970, 3940, 4925, 9850, 19700, 24625, 49250

Step-4: Factors of 98514

List of positive integer factors of 98514 that divides 98500 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 421, 842, 1263, 2526, 3789, 5473, 7578, 10946, 16419, 32838, 49257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98500 and 98514. The biggest common factor number is the GCF number.
So the greatest common factor 98500 and 98514 is 2.

Also check out the Least Common Multiple of 98500 and 98514