What is the Greatest Common Factor of 21939 and 21948?

Greatest common factor (GCF) of 21939 and 21948 is 3.

GCF(21939,21948) = 3

We will now calculate the prime factors of 21939 and 21948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21939 and 21948.

How to find the GCF of 21939 and 21948?

We will first find the prime factorization of 21939 and 21948. After we will calculate the factors of 21939 and 21948 and find the biggest common factor number .

Step-1: Prime Factorization of 21939

Prime factors of 21939 are 3, 71, 103. Prime factorization of 21939 in exponential form is:

21939 = 3¹ × 71¹ × 103¹

Step-2: Prime Factorization of 21948

Prime factors of 21948 are 2, 3, 31, 59. Prime factorization of 21948 in exponential form is:

21948 = 2² × 3¹ × 31¹ × 59¹

Step-3: Factors of 21939

List of positive integer factors of 21939 that divides 21939 without a remainder.

1, 3, 71, 103, 213, 309, 7313

Step-4: Factors of 21948

List of positive integer factors of 21948 that divides 21939 without a remainder.

1, 2, 3, 4, 6, 12, 31, 59, 62, 93, 118, 124, 177, 186, 236, 354, 372, 708, 1829, 3658, 5487, 7316, 10974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21939 and 21948. The biggest common factor number is the GCF number.
So the greatest common factor 21939 and 21948 is 3.

Also check out the Least Common Multiple of 21939 and 21948