What is the Greatest Common Factor of 15022 and 15029?

Greatest common factor (GCF) of 15022 and 15029 is 7.

GCF(15022,15029) = 7

We will now calculate the prime factors of 15022 and 15029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15022 and 15029.

How to find the GCF of 15022 and 15029?

We will first find the prime factorization of 15022 and 15029. After we will calculate the factors of 15022 and 15029 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 15029

Prime factors of 15029 are 7, 19, 113. Prime factorization of 15029 in exponential form is:

15029 = 7¹ × 19¹ × 113¹

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 15029

List of positive integer factors of 15029 that divides 15022 without a remainder.

1, 7, 19, 113, 133, 791, 2147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15022 and 15029. The biggest common factor number is the GCF number.
So the greatest common factor 15022 and 15029 is 7.

Also check out the Least Common Multiple of 15022 and 15029