What is the Greatest Common Factor of 98514 and 98528?

Greatest common factor (GCF) of 98514 and 98528 is 2.

GCF(98514,98528) = 2

We will now calculate the prime factors of 98514 and 98528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98514 and 98528.

How to find the GCF of 98514 and 98528?

We will first find the prime factorization of 98514 and 98528. After we will calculate the factors of 98514 and 98528 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98528

Prime factors of 98528 are 2, 3079. Prime factorization of 98528 in exponential form is:

98528 = 2⁵ × 3079¹

Step-3: Factors of 98514

List of positive integer factors of 98514 that divides 98514 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

Step-4: Factors of 98528

List of positive integer factors of 98528 that divides 98514 without a remainder.

1, 2, 4, 8, 16, 32, 3079, 6158, 12316, 24632, 49264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98514 and 98528. The biggest common factor number is the GCF number.
So the greatest common factor 98514 and 98528 is 2.

Also check out the Least Common Multiple of 98514 and 98528