What is the Greatest Common Factor of 10538 and 10546?

Greatest common factor (GCF) of 10538 and 10546 is 2.

GCF(10538,10546) = 2

We will now calculate the prime factors of 10538 and 10546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10538 and 10546.

How to find the GCF of 10538 and 10546?

We will first find the prime factorization of 10538 and 10546. After we will calculate the factors of 10538 and 10546 and find the biggest common factor number .

Step-1: Prime Factorization of 10538

Prime factors of 10538 are 2, 11, 479. Prime factorization of 10538 in exponential form is:

10538 = 2¹ × 11¹ × 479¹

Step-2: Prime Factorization of 10546

Prime factors of 10546 are 2, 5273. Prime factorization of 10546 in exponential form is:

10546 = 2¹ × 5273¹

Step-3: Factors of 10538

List of positive integer factors of 10538 that divides 10538 without a remainder.

1, 2, 11, 22, 479, 958, 5269

Step-4: Factors of 10546

List of positive integer factors of 10546 that divides 10538 without a remainder.

1, 2, 5273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10538 and 10546. The biggest common factor number is the GCF number.
So the greatest common factor 10538 and 10546 is 2.

Also check out the Least Common Multiple of 10538 and 10546