What is the Greatest Common Factor of 98049 and 98063?

Greatest common factor (GCF) of 98049 and 98063 is 7.

GCF(98049,98063) = 7

We will now calculate the prime factors of 98049 and 98063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98049 and 98063.

How to find the GCF of 98049 and 98063?

We will first find the prime factorization of 98049 and 98063. After we will calculate the factors of 98049 and 98063 and find the biggest common factor number .

Step-1: Prime Factorization of 98049

Prime factors of 98049 are 3, 7, 23, 29. Prime factorization of 98049 in exponential form is:

98049 = 3¹ × 7² × 23¹ × 29¹

Step-2: Prime Factorization of 98063

Prime factors of 98063 are 7, 14009. Prime factorization of 98063 in exponential form is:

98063 = 7¹ × 14009¹

Step-3: Factors of 98049

List of positive integer factors of 98049 that divides 98049 without a remainder.

1, 3, 7, 21, 23, 29, 49, 69, 87, 147, 161, 203, 483, 609, 667, 1127, 1421, 2001, 3381, 4263, 4669, 14007, 32683

Step-4: Factors of 98063

List of positive integer factors of 98063 that divides 98049 without a remainder.

1, 7, 14009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98049 and 98063. The biggest common factor number is the GCF number.
So the greatest common factor 98049 and 98063 is 7.

Also check out the Least Common Multiple of 98049 and 98063