What is the Greatest Common Factor of 10519 and 10524?

Greatest common factor (GCF) of 10519 and 10524 is 1.

GCF(10519,10524) = 1

We will now calculate the prime factors of 10519 and 10524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10519 and 10524.

How to find the GCF of 10519 and 10524?

We will first find the prime factorization of 10519 and 10524. After we will calculate the factors of 10519 and 10524 and find the biggest common factor number .

Step-1: Prime Factorization of 10519

Prime factors of 10519 are 67, 157. Prime factorization of 10519 in exponential form is:

10519 = 67¹ × 157¹

Step-2: Prime Factorization of 10524

Prime factors of 10524 are 2, 3, 877. Prime factorization of 10524 in exponential form is:

10524 = 2² × 3¹ × 877¹

Step-3: Factors of 10519

List of positive integer factors of 10519 that divides 10519 without a remainder.

1, 67, 157

Step-4: Factors of 10524

List of positive integer factors of 10524 that divides 10519 without a remainder.

1, 2, 3, 4, 6, 12, 877, 1754, 2631, 3508, 5262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10519 and 10524. The biggest common factor number is the GCF number.
So the greatest common factor 10519 and 10524 is 1.

Also check out the Least Common Multiple of 10519 and 10524