What is the Greatest Common Factor of 98049 and 98054?

Greatest common factor (GCF) of 98049 and 98054 is 1.

GCF(98049,98054) = 1

We will now calculate the prime factors of 98049 and 98054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98049 and 98054.

How to find the GCF of 98049 and 98054?

We will first find the prime factorization of 98049 and 98054. After we will calculate the factors of 98049 and 98054 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 98054

Prime factors of 98054 are 2, 11, 4457. Prime factorization of 98054 in exponential form is:

98054 = 2¹ × 11¹ × 4457¹

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 98054

List of positive integer factors of 98054 that divides 98049 without a remainder.

1, 2, 11, 22, 4457, 8914, 49027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98049 and 98054. The biggest common factor number is the GCF number.
So the greatest common factor 98049 and 98054 is 1.

Also check out the Least Common Multiple of 98049 and 98054