What is the Greatest Common Factor of 31749 and 31763?

Greatest common factor (GCF) of 31749 and 31763 is 1.

GCF(31749,31763) = 1

We will now calculate the prime factors of 31749 and 31763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31749 and 31763.

How to find the GCF of 31749 and 31763?

We will first find the prime factorization of 31749 and 31763. After we will calculate the factors of 31749 and 31763 and find the biggest common factor number .

Step-1: Prime Factorization of 31749

Prime factors of 31749 are 3, 19, 557. Prime factorization of 31749 in exponential form is:

31749 = 3¹ × 19¹ × 557¹

Step-2: Prime Factorization of 31763

Prime factors of 31763 are 23, 1381. Prime factorization of 31763 in exponential form is:

31763 = 23¹ × 1381¹

Step-3: Factors of 31749

List of positive integer factors of 31749 that divides 31749 without a remainder.

1, 3, 19, 57, 557, 1671, 10583

Step-4: Factors of 31763

List of positive integer factors of 31763 that divides 31749 without a remainder.

1, 23, 1381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31749 and 31763. The biggest common factor number is the GCF number.
So the greatest common factor 31749 and 31763 is 1.

Also check out the Least Common Multiple of 31749 and 31763