What is the Greatest Common Factor of 22048 and 22064?

Greatest common factor (GCF) of 22048 and 22064 is 16.

GCF(22048,22064) = 16

We will now calculate the prime factors of 22048 and 22064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22048 and 22064.

How to find the GCF of 22048 and 22064?

We will first find the prime factorization of 22048 and 22064. After we will calculate the factors of 22048 and 22064 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 22064

Prime factors of 22064 are 2, 7, 197. Prime factorization of 22064 in exponential form is:

22064 = 2⁴ × 7¹ × 197¹

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 22064

List of positive integer factors of 22064 that divides 22048 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 197, 394, 788, 1379, 1576, 2758, 3152, 5516, 11032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22048 and 22064. The biggest common factor number is the GCF number.
So the greatest common factor 22048 and 22064 is 16.

Also check out the Least Common Multiple of 22048 and 22064