What is the Greatest Common Factor of 15745 and 15749?

Greatest common factor (GCF) of 15745 and 15749 is 1.

GCF(15745,15749) = 1

We will now calculate the prime factors of 15745 and 15749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15745 and 15749.

How to find the GCF of 15745 and 15749?

We will first find the prime factorization of 15745 and 15749. After we will calculate the factors of 15745 and 15749 and find the biggest common factor number .

Step-1: Prime Factorization of 15745

Prime factors of 15745 are 5, 47, 67. Prime factorization of 15745 in exponential form is:

15745 = 5¹ × 47¹ × 67¹

Step-2: Prime Factorization of 15749

Prime factors of 15749 are 15749. Prime factorization of 15749 in exponential form is:

15749 = 15749¹

Step-3: Factors of 15745

List of positive integer factors of 15745 that divides 15745 without a remainder.

1, 5, 47, 67, 235, 335, 3149

Step-4: Factors of 15749

List of positive integer factors of 15749 that divides 15745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15745 and 15749. The biggest common factor number is the GCF number.
So the greatest common factor 15745 and 15749 is 1.

Also check out the Least Common Multiple of 15745 and 15749