What is the Greatest Common Factor of 83919 and 83930?

Greatest common factor (GCF) of 83919 and 83930 is 11.

GCF(83919,83930) = 11

We will now calculate the prime factors of 83919 and 83930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83919 and 83930.

How to find the GCF of 83919 and 83930?

We will first find the prime factorization of 83919 and 83930. After we will calculate the factors of 83919 and 83930 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83930

Prime factors of 83930 are 2, 5, 7, 11, 109. Prime factorization of 83930 in exponential form is:

83930 = 2¹ × 5¹ × 7¹ × 11¹ × 109¹

Step-3: Factors of 83919

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

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

Step-4: Factors of 83930

List of positive integer factors of 83930 that divides 83919 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 109, 110, 154, 218, 385, 545, 763, 770, 1090, 1199, 1526, 2398, 3815, 5995, 7630, 8393, 11990, 16786, 41965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83919 and 83930. The biggest common factor number is the GCF number.
So the greatest common factor 83919 and 83930 is 11.

Also check out the Least Common Multiple of 83919 and 83930