What is the Greatest Common Factor of 15220 and 15224?

Greatest common factor (GCF) of 15220 and 15224 is 4.

GCF(15220,15224) = 4

We will now calculate the prime factors of 15220 and 15224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15220 and 15224.

How to find the GCF of 15220 and 15224?

We will first find the prime factorization of 15220 and 15224. After we will calculate the factors of 15220 and 15224 and find the biggest common factor number .

Step-1: Prime Factorization of 15220

Prime factors of 15220 are 2, 5, 761. Prime factorization of 15220 in exponential form is:

15220 = 2² × 5¹ × 761¹

Step-2: Prime Factorization of 15224

Prime factors of 15224 are 2, 11, 173. Prime factorization of 15224 in exponential form is:

15224 = 2³ × 11¹ × 173¹

Step-3: Factors of 15220

List of positive integer factors of 15220 that divides 15220 without a remainder.

1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610

Step-4: Factors of 15224

List of positive integer factors of 15224 that divides 15220 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 173, 346, 692, 1384, 1903, 3806, 7612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15220 and 15224. The biggest common factor number is the GCF number.
So the greatest common factor 15220 and 15224 is 4.

Also check out the Least Common Multiple of 15220 and 15224