What is the Greatest Common Factor of 81921 and 81939?

Greatest common factor (GCF) of 81921 and 81939 is 3.

GCF(81921,81939) = 3

We will now calculate the prime factors of 81921 and 81939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81921 and 81939.

How to find the GCF of 81921 and 81939?

We will first find the prime factorization of 81921 and 81939. After we will calculate the factors of 81921 and 81939 and find the biggest common factor number .

Step-1: Prime Factorization of 81921

Prime factors of 81921 are 3, 7, 47, 83. Prime factorization of 81921 in exponential form is:

81921 = 3¹ × 7¹ × 47¹ × 83¹

Step-2: Prime Factorization of 81939

Prime factors of 81939 are 3, 11, 13, 191. Prime factorization of 81939 in exponential form is:

81939 = 3¹ × 11¹ × 13¹ × 191¹

Step-3: Factors of 81921

List of positive integer factors of 81921 that divides 81921 without a remainder.

1, 3, 7, 21, 47, 83, 141, 249, 329, 581, 987, 1743, 3901, 11703, 27307

Step-4: Factors of 81939

List of positive integer factors of 81939 that divides 81921 without a remainder.

1, 3, 11, 13, 33, 39, 143, 191, 429, 573, 2101, 2483, 6303, 7449, 27313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81921 and 81939. The biggest common factor number is the GCF number.
So the greatest common factor 81921 and 81939 is 3.

Also check out the Least Common Multiple of 81921 and 81939