What is the Greatest Common Factor of 24112 and 24122?

Greatest common factor (GCF) of 24112 and 24122 is 2.

GCF(24112,24122) = 2

We will now calculate the prime factors of 24112 and 24122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24112 and 24122.

How to find the GCF of 24112 and 24122?

We will first find the prime factorization of 24112 and 24122. After we will calculate the factors of 24112 and 24122 and find the biggest common factor number .

Step-1: Prime Factorization of 24112

Prime factors of 24112 are 2, 11, 137. Prime factorization of 24112 in exponential form is:

24112 = 2⁴ × 11¹ × 137¹

Step-2: Prime Factorization of 24122

Prime factors of 24122 are 2, 7, 1723. Prime factorization of 24122 in exponential form is:

24122 = 2¹ × 7¹ × 1723¹

Step-3: Factors of 24112

List of positive integer factors of 24112 that divides 24112 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 137, 176, 274, 548, 1096, 1507, 2192, 3014, 6028, 12056

Step-4: Factors of 24122

List of positive integer factors of 24122 that divides 24112 without a remainder.

1, 2, 7, 14, 1723, 3446, 12061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24112 and 24122. The biggest common factor number is the GCF number.
So the greatest common factor 24112 and 24122 is 2.

Also check out the Least Common Multiple of 24112 and 24122