What is the Greatest Common Factor of 22048 and 22052?

Greatest common factor (GCF) of 22048 and 22052 is 4.

GCF(22048,22052) = 4

We will now calculate the prime factors of 22048 and 22052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22048 and 22052.

How to find the GCF of 22048 and 22052?

We will first find the prime factorization of 22048 and 22052. After we will calculate the factors of 22048 and 22052 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 22052

Prime factors of 22052 are 2, 37, 149. Prime factorization of 22052 in exponential form is:

22052 = 2² × 37¹ × 149¹

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 22052

List of positive integer factors of 22052 that divides 22048 without a remainder.

1, 2, 4, 37, 74, 148, 149, 298, 596, 5513, 11026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22048 and 22052. The biggest common factor number is the GCF number.
So the greatest common factor 22048 and 22052 is 4.

Also check out the Least Common Multiple of 22048 and 22052