What is the Greatest Common Factor of 31691 and 31702?

Greatest common factor (GCF) of 31691 and 31702 is 11.

GCF(31691,31702) = 11

We will now calculate the prime factors of 31691 and 31702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31691 and 31702.

How to find the GCF of 31691 and 31702?

We will first find the prime factorization of 31691 and 31702. After we will calculate the factors of 31691 and 31702 and find the biggest common factor number .

Step-1: Prime Factorization of 31691

Prime factors of 31691 are 11, 43, 67. Prime factorization of 31691 in exponential form is:

31691 = 11¹ × 43¹ × 67¹

Step-2: 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-3: Factors of 31691

List of positive integer factors of 31691 that divides 31691 without a remainder.

1, 11, 43, 67, 473, 737, 2881

Step-4: Factors of 31702

List of positive integer factors of 31702 that divides 31691 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31691 and 31702. The biggest common factor number is the GCF number.
So the greatest common factor 31691 and 31702 is 11.

Also check out the Least Common Multiple of 31691 and 31702