What is the Greatest Common Factor of 24224 and 24236?

Greatest common factor (GCF) of 24224 and 24236 is 4.

GCF(24224,24236) = 4

We will now calculate the prime factors of 24224 and 24236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24224 and 24236.

How to find the GCF of 24224 and 24236?

We will first find the prime factorization of 24224 and 24236. After we will calculate the factors of 24224 and 24236 and find the biggest common factor number .

Step-1: Prime Factorization of 24224

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

24224 = 2⁵ × 757¹

Step-2: Prime Factorization of 24236

Prime factors of 24236 are 2, 73, 83. Prime factorization of 24236 in exponential form is:

24236 = 2² × 73¹ × 83¹

Step-3: Factors of 24224

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

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

Step-4: Factors of 24236

List of positive integer factors of 24236 that divides 24224 without a remainder.

1, 2, 4, 73, 83, 146, 166, 292, 332, 6059, 12118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24224 and 24236. The biggest common factor number is the GCF number.
So the greatest common factor 24224 and 24236 is 4.

Also check out the Least Common Multiple of 24224 and 24236