What is the Greatest Common Factor of 83942 and 83961?

Greatest common factor (GCF) of 83942 and 83961 is 19.

GCF(83942,83961) = 19

We will now calculate the prime factors of 83942 and 83961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83942 and 83961.

How to find the GCF of 83942 and 83961?

We will first find the prime factorization of 83942 and 83961. After we will calculate the factors of 83942 and 83961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83961

Prime factors of 83961 are 3, 19, 491. Prime factorization of 83961 in exponential form is:

83961 = 3² × 19¹ × 491¹

Step-3: Factors of 83942

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

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

Step-4: Factors of 83961

List of positive integer factors of 83961 that divides 83942 without a remainder.

1, 3, 9, 19, 57, 171, 491, 1473, 4419, 9329, 27987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83942 and 83961. The biggest common factor number is the GCF number.
So the greatest common factor 83942 and 83961 is 19.

Also check out the Least Common Multiple of 83942 and 83961