What is the Greatest Common Factor of 83908 and 83919?

Greatest common factor (GCF) of 83908 and 83919 is 11.

GCF(83908,83919) = 11

We will now calculate the prime factors of 83908 and 83919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83908 and 83919.

How to find the GCF of 83908 and 83919?

We will first find the prime factorization of 83908 and 83919. After we will calculate the factors of 83908 and 83919 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 83919

Prime factors of 83919 are 3, 11, 2543. Prime factorization of 83919 in exponential form is:

83919 = 3¹ × 11¹ × 2543¹

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 83919

List of positive integer factors of 83919 that divides 83908 without a remainder.

1, 3, 11, 33, 2543, 7629, 27973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83908 and 83919. The biggest common factor number is the GCF number.
So the greatest common factor 83908 and 83919 is 11.

Also check out the Least Common Multiple of 83908 and 83919