What is the Greatest Common Factor of 15130 and 15135?

Greatest common factor (GCF) of 15130 and 15135 is 5.

GCF(15130,15135) = 5

We will now calculate the prime factors of 15130 and 15135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15130 and 15135.

How to find the GCF of 15130 and 15135?

We will first find the prime factorization of 15130 and 15135. After we will calculate the factors of 15130 and 15135 and find the biggest common factor number .

Step-1: Prime Factorization of 15130

Prime factors of 15130 are 2, 5, 17, 89. Prime factorization of 15130 in exponential form is:

15130 = 2¹ × 5¹ × 17¹ × 89¹

Step-2: Prime Factorization of 15135

Prime factors of 15135 are 3, 5, 1009. Prime factorization of 15135 in exponential form is:

15135 = 3¹ × 5¹ × 1009¹

Step-3: Factors of 15130

List of positive integer factors of 15130 that divides 15130 without a remainder.

1, 2, 5, 10, 17, 34, 85, 89, 170, 178, 445, 890, 1513, 3026, 7565

Step-4: Factors of 15135

List of positive integer factors of 15135 that divides 15130 without a remainder.

1, 3, 5, 15, 1009, 3027, 5045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15130 and 15135. The biggest common factor number is the GCF number.
So the greatest common factor 15130 and 15135 is 5.

Also check out the Least Common Multiple of 15130 and 15135