What is the Greatest Common Factor of 22048 and 22053?

Greatest common factor (GCF) of 22048 and 22053 is 1.

GCF(22048,22053) = 1

We will now calculate the prime factors of 22048 and 22053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22048 and 22053.

How to find the GCF of 22048 and 22053?

We will first find the prime factorization of 22048 and 22053. After we will calculate the factors of 22048 and 22053 and find the biggest common factor number .

Step-1: Prime Factorization of 22048

Prime factors of 22048 are 2, 13, 53. Prime factorization of 22048 in exponential form is:

22048 = 2⁵ × 13¹ × 53¹

Step-2: Prime Factorization of 22053

Prime factors of 22053 are 3, 7351. Prime factorization of 22053 in exponential form is:

22053 = 3¹ × 7351¹

Step-3: Factors of 22048

List of positive integer factors of 22048 that divides 22048 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 53, 104, 106, 208, 212, 416, 424, 689, 848, 1378, 1696, 2756, 5512, 11024

Step-4: Factors of 22053

List of positive integer factors of 22053 that divides 22048 without a remainder.

1, 3, 7351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22048 and 22053. The biggest common factor number is the GCF number.
So the greatest common factor 22048 and 22053 is 1.

Also check out the Least Common Multiple of 22048 and 22053