What is the Greatest Common Factor of 22688 and 22692?

Greatest common factor (GCF) of 22688 and 22692 is 4.

GCF(22688,22692) = 4

We will now calculate the prime factors of 22688 and 22692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22688 and 22692.

How to find the GCF of 22688 and 22692?

We will first find the prime factorization of 22688 and 22692. After we will calculate the factors of 22688 and 22692 and find the biggest common factor number .

Step-1: Prime Factorization of 22688

Prime factors of 22688 are 2, 709. Prime factorization of 22688 in exponential form is:

22688 = 2⁵ × 709¹

Step-2: Prime Factorization of 22692

Prime factors of 22692 are 2, 3, 31, 61. Prime factorization of 22692 in exponential form is:

22692 = 2² × 3¹ × 31¹ × 61¹

Step-3: Factors of 22688

List of positive integer factors of 22688 that divides 22688 without a remainder.

1, 2, 4, 8, 16, 32, 709, 1418, 2836, 5672, 11344

Step-4: Factors of 22692

List of positive integer factors of 22692 that divides 22688 without a remainder.

1, 2, 3, 4, 6, 12, 31, 61, 62, 93, 122, 124, 183, 186, 244, 366, 372, 732, 1891, 3782, 5673, 7564, 11346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22688 and 22692. The biggest common factor number is the GCF number.
So the greatest common factor 22688 and 22692 is 4.

Also check out the Least Common Multiple of 22688 and 22692