What is the Greatest Common Factor of 15340 and 15350?

Greatest common factor (GCF) of 15340 and 15350 is 10.

GCF(15340,15350) = 10

We will now calculate the prime factors of 15340 and 15350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15340 and 15350.

How to find the GCF of 15340 and 15350?

We will first find the prime factorization of 15340 and 15350. After we will calculate the factors of 15340 and 15350 and find the biggest common factor number .

Step-1: Prime Factorization of 15340

Prime factors of 15340 are 2, 5, 13, 59. Prime factorization of 15340 in exponential form is:

15340 = 2² × 5¹ × 13¹ × 59¹

Step-2: Prime Factorization of 15350

Prime factors of 15350 are 2, 5, 307. Prime factorization of 15350 in exponential form is:

15350 = 2¹ × 5² × 307¹

Step-3: Factors of 15340

List of positive integer factors of 15340 that divides 15340 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 59, 65, 118, 130, 236, 260, 295, 590, 767, 1180, 1534, 3068, 3835, 7670

Step-4: Factors of 15350

List of positive integer factors of 15350 that divides 15340 without a remainder.

1, 2, 5, 10, 25, 50, 307, 614, 1535, 3070, 7675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15340 and 15350. The biggest common factor number is the GCF number.
So the greatest common factor 15340 and 15350 is 10.

Also check out the Least Common Multiple of 15340 and 15350