What is the Greatest Common Factor of 10507 and 10526?

Greatest common factor (GCF) of 10507 and 10526 is 19.

GCF(10507,10526) = 19

We will now calculate the prime factors of 10507 and 10526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10507 and 10526.

How to find the GCF of 10507 and 10526?

We will first find the prime factorization of 10507 and 10526. After we will calculate the factors of 10507 and 10526 and find the biggest common factor number .

Step-1: Prime Factorization of 10507

Prime factors of 10507 are 7, 19, 79. Prime factorization of 10507 in exponential form is:

10507 = 7¹ × 19¹ × 79¹

Step-2: Prime Factorization of 10526

Prime factors of 10526 are 2, 19, 277. Prime factorization of 10526 in exponential form is:

10526 = 2¹ × 19¹ × 277¹

Step-3: Factors of 10507

List of positive integer factors of 10507 that divides 10507 without a remainder.

1, 7, 19, 79, 133, 553, 1501

Step-4: Factors of 10526

List of positive integer factors of 10526 that divides 10507 without a remainder.

1, 2, 19, 38, 277, 554, 5263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10507 and 10526. The biggest common factor number is the GCF number.
So the greatest common factor 10507 and 10526 is 19.

Also check out the Least Common Multiple of 10507 and 10526