What is the Greatest Common Factor of 96834 and 96850?

Greatest common factor (GCF) of 96834 and 96850 is 2.

GCF(96834,96850) = 2

We will now calculate the prime factors of 96834 and 96850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96834 and 96850.

How to find the GCF of 96834 and 96850?

We will first find the prime factorization of 96834 and 96850. After we will calculate the factors of 96834 and 96850 and find the biggest common factor number .

Step-1: Prime Factorization of 96834

Prime factors of 96834 are 2, 3, 16139. Prime factorization of 96834 in exponential form is:

96834 = 2¹ × 3¹ × 16139¹

Step-2: Prime Factorization of 96850

Prime factors of 96850 are 2, 5, 13, 149. Prime factorization of 96850 in exponential form is:

96850 = 2¹ × 5² × 13¹ × 149¹

Step-3: Factors of 96834

List of positive integer factors of 96834 that divides 96834 without a remainder.

1, 2, 3, 6, 16139, 32278, 48417

Step-4: Factors of 96850

List of positive integer factors of 96850 that divides 96834 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 149, 298, 325, 650, 745, 1490, 1937, 3725, 3874, 7450, 9685, 19370, 48425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96834 and 96850. The biggest common factor number is the GCF number.
So the greatest common factor 96834 and 96850 is 2.

Also check out the Least Common Multiple of 96834 and 96850