What is the Greatest Common Factor of 22105 and 22120?

Greatest common factor (GCF) of 22105 and 22120 is 5.

GCF(22105,22120) = 5

We will now calculate the prime factors of 22105 and 22120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22105 and 22120.

How to find the GCF of 22105 and 22120?

We will first find the prime factorization of 22105 and 22120. After we will calculate the factors of 22105 and 22120 and find the biggest common factor number .

Step-1: Prime Factorization of 22105

Prime factors of 22105 are 5, 4421. Prime factorization of 22105 in exponential form is:

22105 = 5¹ × 4421¹

Step-2: 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-3: Factors of 22105

List of positive integer factors of 22105 that divides 22105 without a remainder.

1, 5, 4421

Step-4: Factors of 22120

List of positive integer factors of 22120 that divides 22105 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22105 and 22120. The biggest common factor number is the GCF number.
So the greatest common factor 22105 and 22120 is 5.

Also check out the Least Common Multiple of 22105 and 22120