What is the Greatest Common Factor of 98912 and 98917?

Greatest common factor (GCF) of 98912 and 98917 is 1.

GCF(98912,98917) = 1

We will now calculate the prime factors of 98912 and 98917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98912 and 98917.

How to find the GCF of 98912 and 98917?

We will first find the prime factorization of 98912 and 98917. After we will calculate the factors of 98912 and 98917 and find the biggest common factor number .

Step-1: Prime Factorization of 98912

Prime factors of 98912 are 2, 11, 281. Prime factorization of 98912 in exponential form is:

98912 = 2⁵ × 11¹ × 281¹

Step-2: Prime Factorization of 98917

Prime factors of 98917 are 7, 13, 1087. Prime factorization of 98917 in exponential form is:

98917 = 7¹ × 13¹ × 1087¹

Step-3: Factors of 98912

List of positive integer factors of 98912 that divides 98912 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 281, 352, 562, 1124, 2248, 3091, 4496, 6182, 8992, 12364, 24728, 49456

Step-4: Factors of 98917

List of positive integer factors of 98917 that divides 98912 without a remainder.

1, 7, 13, 91, 1087, 7609, 14131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98912 and 98917. The biggest common factor number is the GCF number.
So the greatest common factor 98912 and 98917 is 1.

Also check out the Least Common Multiple of 98912 and 98917