What is the Greatest Common Factor of 22152 and 22165?

Greatest common factor (GCF) of 22152 and 22165 is 13.

GCF(22152,22165) = 13

We will now calculate the prime factors of 22152 and 22165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22152 and 22165.

How to find the GCF of 22152 and 22165?

We will first find the prime factorization of 22152 and 22165. After we will calculate the factors of 22152 and 22165 and find the biggest common factor number .

Step-1: Prime Factorization of 22152

Prime factors of 22152 are 2, 3, 13, 71. Prime factorization of 22152 in exponential form is:

22152 = 2³ × 3¹ × 13¹ × 71¹

Step-2: Prime Factorization of 22165

Prime factors of 22165 are 5, 11, 13, 31. Prime factorization of 22165 in exponential form is:

22165 = 5¹ × 11¹ × 13¹ × 31¹

Step-3: Factors of 22152

List of positive integer factors of 22152 that divides 22152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 71, 78, 104, 142, 156, 213, 284, 312, 426, 568, 852, 923, 1704, 1846, 2769, 3692, 5538, 7384, 11076

Step-4: Factors of 22165

List of positive integer factors of 22165 that divides 22152 without a remainder.

1, 5, 11, 13, 31, 55, 65, 143, 155, 341, 403, 715, 1705, 2015, 4433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22152 and 22165. The biggest common factor number is the GCF number.
So the greatest common factor 22152 and 22165 is 13.

Also check out the Least Common Multiple of 22152 and 22165