What is the Greatest Common Factor of 15029 and 15036?

Greatest common factor (GCF) of 15029 and 15036 is 7.

GCF(15029,15036) = 7

We will now calculate the prime factors of 15029 and 15036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15029 and 15036.

How to find the GCF of 15029 and 15036?

We will first find the prime factorization of 15029 and 15036. After we will calculate the factors of 15029 and 15036 and find the biggest common factor number .

Step-1: 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-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 15029

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

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

Step-4: Factors of 15036

List of positive integer factors of 15036 that divides 15029 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 15029 and 15036. The biggest common factor number is the GCF number.
So the greatest common factor 15029 and 15036 is 7.

Also check out the Least Common Multiple of 15029 and 15036