What is the Greatest Common Factor of 98032 and 98049?

Greatest common factor (GCF) of 98032 and 98049 is 1.

GCF(98032,98049) = 1

We will now calculate the prime factors of 98032 and 98049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98032 and 98049.

How to find the GCF of 98032 and 98049?

We will first find the prime factorization of 98032 and 98049. After we will calculate the factors of 98032 and 98049 and find the biggest common factor number .

Step-1: Prime Factorization of 98032

Prime factors of 98032 are 2, 11, 557. Prime factorization of 98032 in exponential form is:

98032 = 2⁴ × 11¹ × 557¹

Step-2: 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-3: Factors of 98032

List of positive integer factors of 98032 that divides 98032 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 557, 1114, 2228, 4456, 6127, 8912, 12254, 24508, 49016

Step-4: Factors of 98049

List of positive integer factors of 98049 that divides 98032 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98032 and 98049. The biggest common factor number is the GCF number.
So the greatest common factor 98032 and 98049 is 1.

Also check out the Least Common Multiple of 98032 and 98049