What is the Greatest Common Factor of 24214 and 24224?

Greatest common factor (GCF) of 24214 and 24224 is 2.

GCF(24214,24224) = 2

We will now calculate the prime factors of 24214 and 24224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24214 and 24224.

How to find the GCF of 24214 and 24224?

We will first find the prime factorization of 24214 and 24224. After we will calculate the factors of 24214 and 24224 and find the biggest common factor number .

Step-1: Prime Factorization of 24214

Prime factors of 24214 are 2, 12107. Prime factorization of 24214 in exponential form is:

24214 = 2¹ × 12107¹

Step-2: Prime Factorization of 24224

Prime factors of 24224 are 2, 757. Prime factorization of 24224 in exponential form is:

24224 = 2⁵ × 757¹

Step-3: Factors of 24214

List of positive integer factors of 24214 that divides 24214 without a remainder.

1, 2, 12107

Step-4: Factors of 24224

List of positive integer factors of 24224 that divides 24214 without a remainder.

1, 2, 4, 8, 16, 32, 757, 1514, 3028, 6056, 12112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24214 and 24224. The biggest common factor number is the GCF number.
So the greatest common factor 24214 and 24224 is 2.

Also check out the Least Common Multiple of 24214 and 24224