What is the Greatest Common Factor of 83325 and 83336?

Greatest common factor (GCF) of 83325 and 83336 is 11.

GCF(83325,83336) = 11

We will now calculate the prime factors of 83325 and 83336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83325 and 83336.

How to find the GCF of 83325 and 83336?

We will first find the prime factorization of 83325 and 83336. After we will calculate the factors of 83325 and 83336 and find the biggest common factor number .

Step-1: Prime Factorization of 83325

Prime factors of 83325 are 3, 5, 11, 101. Prime factorization of 83325 in exponential form is:

83325 = 3¹ × 5² × 11¹ × 101¹

Step-2: Prime Factorization of 83336

Prime factors of 83336 are 2, 11, 947. Prime factorization of 83336 in exponential form is:

83336 = 2³ × 11¹ × 947¹

Step-3: Factors of 83325

List of positive integer factors of 83325 that divides 83325 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 101, 165, 275, 303, 505, 825, 1111, 1515, 2525, 3333, 5555, 7575, 16665, 27775

Step-4: Factors of 83336

List of positive integer factors of 83336 that divides 83325 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 947, 1894, 3788, 7576, 10417, 20834, 41668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83325 and 83336. The biggest common factor number is the GCF number.
So the greatest common factor 83325 and 83336 is 11.

Also check out the Least Common Multiple of 83325 and 83336