What is the Greatest Common Factor of 83923 and 83942?

Greatest common factor (GCF) of 83923 and 83942 is 19.

GCF(83923,83942) = 19

We will now calculate the prime factors of 83923 and 83942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83923 and 83942.

How to find the GCF of 83923 and 83942?

We will first find the prime factorization of 83923 and 83942. After we will calculate the factors of 83923 and 83942 and find the biggest common factor number .

Step-1: Prime Factorization of 83923

Prime factors of 83923 are 7, 19, 631. Prime factorization of 83923 in exponential form is:

83923 = 7¹ × 19¹ × 631¹

Step-2: Prime Factorization of 83942

Prime factors of 83942 are 2, 19, 47. Prime factorization of 83942 in exponential form is:

83942 = 2¹ × 19¹ × 47²

Step-3: Factors of 83923

List of positive integer factors of 83923 that divides 83923 without a remainder.

1, 7, 19, 133, 631, 4417, 11989

Step-4: Factors of 83942

List of positive integer factors of 83942 that divides 83923 without a remainder.

1, 2, 19, 38, 47, 94, 893, 1786, 2209, 4418, 41971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83923 and 83942. The biggest common factor number is the GCF number.
So the greatest common factor 83923 and 83942 is 19.

Also check out the Least Common Multiple of 83923 and 83942