What is the Greatest Common Factor of 12520 and 12535?

Greatest common factor (GCF) of 12520 and 12535 is 5.

GCF(12520,12535) = 5

We will now calculate the prime factors of 12520 and 12535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12520 and 12535.

How to find the GCF of 12520 and 12535?

We will first find the prime factorization of 12520 and 12535. After we will calculate the factors of 12520 and 12535 and find the biggest common factor number .

Step-1: Prime Factorization of 12520

Prime factors of 12520 are 2, 5, 313. Prime factorization of 12520 in exponential form is:

12520 = 2³ × 5¹ × 313¹

Step-2: Prime Factorization of 12535

Prime factors of 12535 are 5, 23, 109. Prime factorization of 12535 in exponential form is:

12535 = 5¹ × 23¹ × 109¹

Step-3: Factors of 12520

List of positive integer factors of 12520 that divides 12520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 313, 626, 1252, 1565, 2504, 3130, 6260

Step-4: Factors of 12535

List of positive integer factors of 12535 that divides 12520 without a remainder.

1, 5, 23, 109, 115, 545, 2507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12520 and 12535. The biggest common factor number is the GCF number.
So the greatest common factor 12520 and 12535 is 5.

Also check out the Least Common Multiple of 12520 and 12535