What is the Greatest Common Factor of 22292 and 22308?

Greatest common factor (GCF) of 22292 and 22308 is 4.

GCF(22292,22308) = 4

We will now calculate the prime factors of 22292 and 22308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22292 and 22308.

How to find the GCF of 22292 and 22308?

We will first find the prime factorization of 22292 and 22308. After we will calculate the factors of 22292 and 22308 and find the biggest common factor number .

Step-1: Prime Factorization of 22292

Prime factors of 22292 are 2, 5573. Prime factorization of 22292 in exponential form is:

22292 = 2² × 5573¹

Step-2: Prime Factorization of 22308

Prime factors of 22308 are 2, 3, 11, 13. Prime factorization of 22308 in exponential form is:

22308 = 2² × 3¹ × 11¹ × 13²

Step-3: Factors of 22292

List of positive integer factors of 22292 that divides 22292 without a remainder.

1, 2, 4, 5573, 11146

Step-4: Factors of 22308

List of positive integer factors of 22308 that divides 22292 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 169, 286, 338, 429, 507, 572, 676, 858, 1014, 1716, 1859, 2028, 3718, 5577, 7436, 11154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22292 and 22308. The biggest common factor number is the GCF number.
So the greatest common factor 22292 and 22308 is 4.

Also check out the Least Common Multiple of 22292 and 22308