What is the Greatest Common Factor of 21948 and 21967?

Greatest common factor (GCF) of 21948 and 21967 is 1.

GCF(21948,21967) = 1

We will now calculate the prime factors of 21948 and 21967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21948 and 21967.

How to find the GCF of 21948 and 21967?

We will first find the prime factorization of 21948 and 21967. After we will calculate the factors of 21948 and 21967 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 21967

Prime factors of 21967 are 11, 1997. Prime factorization of 21967 in exponential form is:

21967 = 11¹ × 1997¹

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 21967

List of positive integer factors of 21967 that divides 21948 without a remainder.

1, 11, 1997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21948 and 21967. The biggest common factor number is the GCF number.
So the greatest common factor 21948 and 21967 is 1.

Also check out the Least Common Multiple of 21948 and 21967