GCF and LCM Calculator Logo

What is the Greatest Common Factor of 10522 and 10529?

Greatest common factor (GCF) of 10522 and 10529 is 1.

GCF(10522,10529) = 1

We will now calculate the prime factors of 10522 and 10529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10522 and 10529.

GCF Calculator and
and

How to find the GCF of 10522 and 10529?

We will first find the prime factorization of 10522 and 10529. After we will calculate the factors of 10522 and 10529 and find the biggest common factor number .

Step-1: Prime Factorization of 10522

Prime factors of 10522 are 2, 5261. Prime factorization of 10522 in exponential form is:

10522 = 21 × 52611

Step-2: Prime Factorization of 10529

Prime factors of 10529 are 10529. Prime factorization of 10529 in exponential form is:

10529 = 105291

Step-3: Factors of 10522

List of positive integer factors of 10522 that divides 10522 without a remainder.

1, 2, 5261

Step-4: Factors of 10529

List of positive integer factors of 10529 that divides 10522 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10522 and 10529. The biggest common factor number is the GCF number.
So the greatest common factor 10522 and 10529 is 1.

Also check out the Least Common Multiple of 10522 and 10529