What is the Greatest Common Factor of 98546 and 98564?

Greatest common factor (GCF) of 98546 and 98564 is 2.

GCF(98546,98564) = 2

We will now calculate the prime factors of 98546 and 98564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98546 and 98564.

How to find the GCF of 98546 and 98564?

We will first find the prime factorization of 98546 and 98564. After we will calculate the factors of 98546 and 98564 and find the biggest common factor number .

Step-1: Prime Factorization of 98546

Prime factors of 98546 are 2, 7, 7039. Prime factorization of 98546 in exponential form is:

98546 = 2¹ × 7¹ × 7039¹

Step-2: Prime Factorization of 98564

Prime factors of 98564 are 2, 41, 601. Prime factorization of 98564 in exponential form is:

98564 = 2² × 41¹ × 601¹

Step-3: Factors of 98546

List of positive integer factors of 98546 that divides 98546 without a remainder.

1, 2, 7, 14, 7039, 14078, 49273

Step-4: Factors of 98564

List of positive integer factors of 98564 that divides 98546 without a remainder.

1, 2, 4, 41, 82, 164, 601, 1202, 2404, 24641, 49282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98546 and 98564. The biggest common factor number is the GCF number.
So the greatest common factor 98546 and 98564 is 2.

Also check out the Least Common Multiple of 98546 and 98564