What is the Greatest Common Factor of 22120 and 22134?

Greatest common factor (GCF) of 22120 and 22134 is 14.

GCF(22120,22134) = 14

We will now calculate the prime factors of 22120 and 22134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22120 and 22134.

How to find the GCF of 22120 and 22134?

We will first find the prime factorization of 22120 and 22134. After we will calculate the factors of 22120 and 22134 and find the biggest common factor number .

Step-1: Prime Factorization of 22120

Prime factors of 22120 are 2, 5, 7, 79. Prime factorization of 22120 in exponential form is:

22120 = 2³ × 5¹ × 7¹ × 79¹

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 22120

List of positive integer factors of 22120 that divides 22120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 79, 140, 158, 280, 316, 395, 553, 632, 790, 1106, 1580, 2212, 2765, 3160, 4424, 5530, 11060

Step-4: Factors of 22134

List of positive integer factors of 22134 that divides 22120 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 22120 and 22134. The biggest common factor number is the GCF number.
So the greatest common factor 22120 and 22134 is 14.

Also check out the Least Common Multiple of 22120 and 22134