What is the Greatest Common Factor of 98629 and 98648?

Greatest common factor (GCF) of 98629 and 98648 is 19.

GCF(98629,98648) = 19

We will now calculate the prime factors of 98629 and 98648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98629 and 98648.

How to find the GCF of 98629 and 98648?

We will first find the prime factorization of 98629 and 98648. After we will calculate the factors of 98629 and 98648 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 98648

Prime factors of 98648 are 2, 11, 19, 59. Prime factorization of 98648 in exponential form is:

98648 = 2³ × 11¹ × 19¹ × 59¹

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 98648

List of positive integer factors of 98648 that divides 98629 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 59, 76, 88, 118, 152, 209, 236, 418, 472, 649, 836, 1121, 1298, 1672, 2242, 2596, 4484, 5192, 8968, 12331, 24662, 49324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98629 and 98648. The biggest common factor number is the GCF number.
So the greatest common factor 98629 and 98648 is 19.

Also check out the Least Common Multiple of 98629 and 98648