What is the Greatest Common Factor of 10745 and 10759?

Greatest common factor (GCF) of 10745 and 10759 is 7.

GCF(10745,10759) = 7

We will now calculate the prime factors of 10745 and 10759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10745 and 10759.

How to find the GCF of 10745 and 10759?

We will first find the prime factorization of 10745 and 10759. After we will calculate the factors of 10745 and 10759 and find the biggest common factor number .

Step-1: Prime Factorization of 10745

Prime factors of 10745 are 5, 7, 307. Prime factorization of 10745 in exponential form is:

10745 = 5¹ × 7¹ × 307¹

Step-2: Prime Factorization of 10759

Prime factors of 10759 are 7, 29, 53. Prime factorization of 10759 in exponential form is:

10759 = 7¹ × 29¹ × 53¹

Step-3: Factors of 10745

List of positive integer factors of 10745 that divides 10745 without a remainder.

1, 5, 7, 35, 307, 1535, 2149

Step-4: Factors of 10759

List of positive integer factors of 10759 that divides 10745 without a remainder.

1, 7, 29, 53, 203, 371, 1537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10745 and 10759. The biggest common factor number is the GCF number.
So the greatest common factor 10745 and 10759 is 7.

Also check out the Least Common Multiple of 10745 and 10759