What is the Greatest Common Factor of 10509 and 10525?

Greatest common factor (GCF) of 10509 and 10525 is 1.

GCF(10509,10525) = 1

We will now calculate the prime factors of 10509 and 10525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10509 and 10525.

How to find the GCF of 10509 and 10525?

We will first find the prime factorization of 10509 and 10525. After we will calculate the factors of 10509 and 10525 and find the biggest common factor number .

Step-1: Prime Factorization of 10509

Prime factors of 10509 are 3, 31, 113. Prime factorization of 10509 in exponential form is:

10509 = 3¹ × 31¹ × 113¹

Step-2: Prime Factorization of 10525

Prime factors of 10525 are 5, 421. Prime factorization of 10525 in exponential form is:

10525 = 5² × 421¹

Step-3: Factors of 10509

List of positive integer factors of 10509 that divides 10509 without a remainder.

1, 3, 31, 93, 113, 339, 3503

Step-4: Factors of 10525

List of positive integer factors of 10525 that divides 10509 without a remainder.

1, 5, 25, 421, 2105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10509 and 10525. The biggest common factor number is the GCF number.
So the greatest common factor 10509 and 10525 is 1.

Also check out the Least Common Multiple of 10509 and 10525