What is the Greatest Common Factor of 83342 and 83360?

Greatest common factor (GCF) of 83342 and 83360 is 2.

GCF(83342,83360) = 2

We will now calculate the prime factors of 83342 and 83360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83342 and 83360.

How to find the GCF of 83342 and 83360?

We will first find the prime factorization of 83342 and 83360. After we will calculate the factors of 83342 and 83360 and find the biggest common factor number .

Step-1: Prime Factorization of 83342

Prime factors of 83342 are 2, 7, 5953. Prime factorization of 83342 in exponential form is:

83342 = 2¹ × 7¹ × 5953¹

Step-2: Prime Factorization of 83360

Prime factors of 83360 are 2, 5, 521. Prime factorization of 83360 in exponential form is:

83360 = 2⁵ × 5¹ × 521¹

Step-3: Factors of 83342

List of positive integer factors of 83342 that divides 83342 without a remainder.

1, 2, 7, 14, 5953, 11906, 41671

Step-4: Factors of 83360

List of positive integer factors of 83360 that divides 83342 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 521, 1042, 2084, 2605, 4168, 5210, 8336, 10420, 16672, 20840, 41680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83342 and 83360. The biggest common factor number is the GCF number.
So the greatest common factor 83342 and 83360 is 2.

Also check out the Least Common Multiple of 83342 and 83360