What is the Greatest Common Factor of 83908 and 83922?

Greatest common factor (GCF) of 83908 and 83922 is 2.

GCF(83908,83922) = 2

We will now calculate the prime factors of 83908 and 83922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83908 and 83922.

How to find the GCF of 83908 and 83922?

We will first find the prime factorization of 83908 and 83922. After we will calculate the factors of 83908 and 83922 and find the biggest common factor number .

Step-1: Prime Factorization of 83908

Prime factors of 83908 are 2, 11, 1907. Prime factorization of 83908 in exponential form is:

83908 = 2² × 11¹ × 1907¹

Step-2: Prime Factorization of 83922

Prime factors of 83922 are 2, 3, 71, 197. Prime factorization of 83922 in exponential form is:

83922 = 2¹ × 3¹ × 71¹ × 197¹

Step-3: Factors of 83908

List of positive integer factors of 83908 that divides 83908 without a remainder.

1, 2, 4, 11, 22, 44, 1907, 3814, 7628, 20977, 41954

Step-4: Factors of 83922

List of positive integer factors of 83922 that divides 83908 without a remainder.

1, 2, 3, 6, 71, 142, 197, 213, 394, 426, 591, 1182, 13987, 27974, 41961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83908 and 83922. The biggest common factor number is the GCF number.
So the greatest common factor 83908 and 83922 is 2.

Also check out the Least Common Multiple of 83908 and 83922