What is the Greatest Common Factor of 83662 and 83676?

Greatest common factor (GCF) of 83662 and 83676 is 2.

GCF(83662,83676) = 2

We will now calculate the prime factors of 83662 and 83676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83662 and 83676.

How to find the GCF of 83662 and 83676?

We will first find the prime factorization of 83662 and 83676. After we will calculate the factors of 83662 and 83676 and find the biggest common factor number .

Step-1: Prime Factorization of 83662

Prime factors of 83662 are 2, 59, 709. Prime factorization of 83662 in exponential form is:

83662 = 2¹ × 59¹ × 709¹

Step-2: Prime Factorization of 83676

Prime factors of 83676 are 2, 3, 19, 367. Prime factorization of 83676 in exponential form is:

83676 = 2² × 3¹ × 19¹ × 367¹

Step-3: Factors of 83662

List of positive integer factors of 83662 that divides 83662 without a remainder.

1, 2, 59, 118, 709, 1418, 41831

Step-4: Factors of 83676

List of positive integer factors of 83676 that divides 83662 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 367, 734, 1101, 1468, 2202, 4404, 6973, 13946, 20919, 27892, 41838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83662 and 83676. The biggest common factor number is the GCF number.
So the greatest common factor 83662 and 83676 is 2.

Also check out the Least Common Multiple of 83662 and 83676