What is the Greatest Common Factor of 15022 and 15036?

Greatest common factor (GCF) of 15022 and 15036 is 14.

GCF(15022,15036) = 14

We will now calculate the prime factors of 15022 and 15036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15022 and 15036.

How to find the GCF of 15022 and 15036?

We will first find the prime factorization of 15022 and 15036. After we will calculate the factors of 15022 and 15036 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 15036

Prime factors of 15036 are 2, 3, 7, 179. Prime factorization of 15036 in exponential form is:

15036 = 2² × 3¹ × 7¹ × 179¹

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 15036

List of positive integer factors of 15036 that divides 15022 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 179, 358, 537, 716, 1074, 1253, 2148, 2506, 3759, 5012, 7518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15022 and 15036. The biggest common factor number is the GCF number.
So the greatest common factor 15022 and 15036 is 14.

Also check out the Least Common Multiple of 15022 and 15036