What is the Greatest Common Factor of 98936 and 98947?

Greatest common factor (GCF) of 98936 and 98947 is 1.

GCF(98936,98947) = 1

We will now calculate the prime factors of 98936 and 98947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98936 and 98947.

How to find the GCF of 98936 and 98947?

We will first find the prime factorization of 98936 and 98947. After we will calculate the factors of 98936 and 98947 and find the biggest common factor number .

Step-1: Prime Factorization of 98936

Prime factors of 98936 are 2, 83, 149. Prime factorization of 98936 in exponential form is:

98936 = 2³ × 83¹ × 149¹

Step-2: Prime Factorization of 98947

Prime factors of 98947 are 98947. Prime factorization of 98947 in exponential form is:

98947 = 98947¹

Step-3: Factors of 98936

List of positive integer factors of 98936 that divides 98936 without a remainder.

1, 2, 4, 8, 83, 149, 166, 298, 332, 596, 664, 1192, 12367, 24734, 49468

Step-4: Factors of 98947

List of positive integer factors of 98947 that divides 98936 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98936 and 98947. The biggest common factor number is the GCF number.
So the greatest common factor 98936 and 98947 is 1.

Also check out the Least Common Multiple of 98936 and 98947