What is the Greatest Common Factor of 15022 and 15032?

Greatest common factor (GCF) of 15022 and 15032 is 2.

GCF(15022,15032) = 2

We will now calculate the prime factors of 15022 and 15032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15022 and 15032.

How to find the GCF of 15022 and 15032?

We will first find the prime factorization of 15022 and 15032. After we will calculate the factors of 15022 and 15032 and find the biggest common factor number .

Step-1: Prime Factorization of 15022

Prime factors of 15022 are 2, 7, 29, 37. Prime factorization of 15022 in exponential form is:

15022 = 2¹ × 7¹ × 29¹ × 37¹

Step-2: Prime Factorization of 15032

Prime factors of 15032 are 2, 1879. Prime factorization of 15032 in exponential form is:

15032 = 2³ × 1879¹

Step-3: Factors of 15022

List of positive integer factors of 15022 that divides 15022 without a remainder.

1, 2, 7, 14, 29, 37, 58, 74, 203, 259, 406, 518, 1073, 2146, 7511

Step-4: Factors of 15032

List of positive integer factors of 15032 that divides 15022 without a remainder.

1, 2, 4, 8, 1879, 3758, 7516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15022 and 15032. The biggest common factor number is the GCF number.
So the greatest common factor 15022 and 15032 is 2.

Also check out the Least Common Multiple of 15022 and 15032