What is the Greatest Common Factor of 22130 and 22134?

Greatest common factor (GCF) of 22130 and 22134 is 2.

GCF(22130,22134) = 2

We will now calculate the prime factors of 22130 and 22134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22130 and 22134.

How to find the GCF of 22130 and 22134?

We will first find the prime factorization of 22130 and 22134. After we will calculate the factors of 22130 and 22134 and find the biggest common factor number .

Step-1: Prime Factorization of 22130

Prime factors of 22130 are 2, 5, 2213. Prime factorization of 22130 in exponential form is:

22130 = 2¹ × 5¹ × 2213¹

Step-2: Prime Factorization of 22134

Prime factors of 22134 are 2, 3, 7, 17, 31. Prime factorization of 22134 in exponential form is:

22134 = 2¹ × 3¹ × 7¹ × 17¹ × 31¹

Step-3: Factors of 22130

List of positive integer factors of 22130 that divides 22130 without a remainder.

1, 2, 5, 10, 2213, 4426, 11065

Step-4: Factors of 22134

List of positive integer factors of 22134 that divides 22130 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 31, 34, 42, 51, 62, 93, 102, 119, 186, 217, 238, 357, 434, 527, 651, 714, 1054, 1302, 1581, 3162, 3689, 7378, 11067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22130 and 22134. The biggest common factor number is the GCF number.
So the greatest common factor 22130 and 22134 is 2.

Also check out the Least Common Multiple of 22130 and 22134