What is the Greatest Common Factor of 98629 and 98636?

Greatest common factor (GCF) of 98629 and 98636 is 1.

GCF(98629,98636) = 1

We will now calculate the prime factors of 98629 and 98636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98629 and 98636.

How to find the GCF of 98629 and 98636?

We will first find the prime factorization of 98629 and 98636. After we will calculate the factors of 98629 and 98636 and find the biggest common factor number .

Step-1: Prime Factorization of 98629

Prime factors of 98629 are 19, 29, 179. Prime factorization of 98629 in exponential form is:

98629 = 19¹ × 29¹ × 179¹

Step-2: Prime Factorization of 98636

Prime factors of 98636 are 2, 24659. Prime factorization of 98636 in exponential form is:

98636 = 2² × 24659¹

Step-3: Factors of 98629

List of positive integer factors of 98629 that divides 98629 without a remainder.

1, 19, 29, 179, 551, 3401, 5191

Step-4: Factors of 98636

List of positive integer factors of 98636 that divides 98629 without a remainder.

1, 2, 4, 24659, 49318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98629 and 98636. The biggest common factor number is the GCF number.
So the greatest common factor 98629 and 98636 is 1.

Also check out the Least Common Multiple of 98629 and 98636