What is the Greatest Common Factor of 21948 and 21963?

Greatest common factor (GCF) of 21948 and 21963 is 3.

GCF(21948,21963) = 3

We will now calculate the prime factors of 21948 and 21963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21948 and 21963.

How to find the GCF of 21948 and 21963?

We will first find the prime factorization of 21948 and 21963. After we will calculate the factors of 21948 and 21963 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21963

Prime factors of 21963 are 3, 7321. Prime factorization of 21963 in exponential form is:

21963 = 3¹ × 7321¹

Step-3: Factors of 21948

List of positive integer factors of 21948 that divides 21948 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

Step-4: Factors of 21963

List of positive integer factors of 21963 that divides 21948 without a remainder.

1, 3, 7321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21948 and 21963. The biggest common factor number is the GCF number.
So the greatest common factor 21948 and 21963 is 3.

Also check out the Least Common Multiple of 21948 and 21963