What is the Greatest Common Factor of 31702 and 31719?

Greatest common factor (GCF) of 31702 and 31719 is 1.

GCF(31702,31719) = 1

We will now calculate the prime factors of 31702 and 31719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31702 and 31719.

How to find the GCF of 31702 and 31719?

We will first find the prime factorization of 31702 and 31719. After we will calculate the factors of 31702 and 31719 and find the biggest common factor number .

Step-1: Prime Factorization of 31702

Prime factors of 31702 are 2, 11, 131. Prime factorization of 31702 in exponential form is:

31702 = 2¹ × 11² × 131¹

Step-2: Prime Factorization of 31719

Prime factors of 31719 are 3, 97, 109. Prime factorization of 31719 in exponential form is:

31719 = 3¹ × 97¹ × 109¹

Step-3: Factors of 31702

List of positive integer factors of 31702 that divides 31702 without a remainder.

1, 2, 11, 22, 121, 131, 242, 262, 1441, 2882, 15851

Step-4: Factors of 31719

List of positive integer factors of 31719 that divides 31702 without a remainder.

1, 3, 97, 109, 291, 327, 10573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31702 and 31719. The biggest common factor number is the GCF number.
So the greatest common factor 31702 and 31719 is 1.

Also check out the Least Common Multiple of 31702 and 31719