What is the Greatest Common Factor of 21952 and 21961?

Greatest common factor (GCF) of 21952 and 21961 is 1.

GCF(21952,21961) = 1

We will now calculate the prime factors of 21952 and 21961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21952 and 21961.

How to find the GCF of 21952 and 21961?

We will first find the prime factorization of 21952 and 21961. After we will calculate the factors of 21952 and 21961 and find the biggest common factor number .

Step-1: Prime Factorization of 21952

Prime factors of 21952 are 2, 7. Prime factorization of 21952 in exponential form is:

21952 = 2⁶ × 7³

Step-2: Prime Factorization of 21961

Prime factors of 21961 are 21961. Prime factorization of 21961 in exponential form is:

21961 = 21961¹

Step-3: Factors of 21952

List of positive integer factors of 21952 that divides 21952 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 343, 392, 448, 686, 784, 1372, 1568, 2744, 3136, 5488, 10976

Step-4: Factors of 21961

List of positive integer factors of 21961 that divides 21952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21952 and 21961. The biggest common factor number is the GCF number.
So the greatest common factor 21952 and 21961 is 1.

Also check out the Least Common Multiple of 21952 and 21961