What is the Greatest Common Factor of 96840 and 96850?

Greatest common factor (GCF) of 96840 and 96850 is 10.

GCF(96840,96850) = 10

We will now calculate the prime factors of 96840 and 96850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96840 and 96850.

How to find the GCF of 96840 and 96850?

We will first find the prime factorization of 96840 and 96850. After we will calculate the factors of 96840 and 96850 and find the biggest common factor number .

Step-1: Prime Factorization of 96840

Prime factors of 96840 are 2, 3, 5, 269. Prime factorization of 96840 in exponential form is:

96840 = 2³ × 3² × 5¹ × 269¹

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 96840

List of positive integer factors of 96840 that divides 96840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 269, 360, 538, 807, 1076, 1345, 1614, 2152, 2421, 2690, 3228, 4035, 4842, 5380, 6456, 8070, 9684, 10760, 12105, 16140, 19368, 24210, 32280, 48420

Step-4: Factors of 96850

List of positive integer factors of 96850 that divides 96840 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 96840 and 96850. The biggest common factor number is the GCF number.
So the greatest common factor 96840 and 96850 is 10.

Also check out the Least Common Multiple of 96840 and 96850