What is the Greatest Common Factor of 10535 and 10553?

Greatest common factor (GCF) of 10535 and 10553 is 1.

GCF(10535,10553) = 1

We will now calculate the prime factors of 10535 and 10553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10535 and 10553.

How to find the GCF of 10535 and 10553?

We will first find the prime factorization of 10535 and 10553. After we will calculate the factors of 10535 and 10553 and find the biggest common factor number .

Step-1: Prime Factorization of 10535

Prime factors of 10535 are 5, 7, 43. Prime factorization of 10535 in exponential form is:

10535 = 5¹ × 7² × 43¹

Step-2: Prime Factorization of 10553

Prime factors of 10553 are 61, 173. Prime factorization of 10553 in exponential form is:

10553 = 61¹ × 173¹

Step-3: Factors of 10535

List of positive integer factors of 10535 that divides 10535 without a remainder.

1, 5, 7, 35, 43, 49, 215, 245, 301, 1505, 2107

Step-4: Factors of 10553

List of positive integer factors of 10553 that divides 10535 without a remainder.

1, 61, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10535 and 10553. The biggest common factor number is the GCF number.
So the greatest common factor 10535 and 10553 is 1.

Also check out the Least Common Multiple of 10535 and 10553