What is the Greatest Common Factor of 22134 and 22151?

Greatest common factor (GCF) of 22134 and 22151 is 17.

GCF(22134,22151) = 17

We will now calculate the prime factors of 22134 and 22151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22134 and 22151.

How to find the GCF of 22134 and 22151?

We will first find the prime factorization of 22134 and 22151. After we will calculate the factors of 22134 and 22151 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22151

Prime factors of 22151 are 17, 1303. Prime factorization of 22151 in exponential form is:

22151 = 17¹ × 1303¹

Step-3: Factors of 22134

List of positive integer factors of 22134 that divides 22134 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

Step-4: Factors of 22151

List of positive integer factors of 22151 that divides 22134 without a remainder.

1, 17, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22134 and 22151. The biggest common factor number is the GCF number.
So the greatest common factor 22134 and 22151 is 17.

Also check out the Least Common Multiple of 22134 and 22151