What is the Greatest Common Factor of 31672 and 31691?

Greatest common factor (GCF) of 31672 and 31691 is 1.

GCF(31672,31691) = 1

We will now calculate the prime factors of 31672 and 31691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31672 and 31691.

How to find the GCF of 31672 and 31691?

We will first find the prime factorization of 31672 and 31691. After we will calculate the factors of 31672 and 31691 and find the biggest common factor number .

Step-1: Prime Factorization of 31672

Prime factors of 31672 are 2, 37, 107. Prime factorization of 31672 in exponential form is:

31672 = 2³ × 37¹ × 107¹

Step-2: 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-3: Factors of 31672

List of positive integer factors of 31672 that divides 31672 without a remainder.

1, 2, 4, 8, 37, 74, 107, 148, 214, 296, 428, 856, 3959, 7918, 15836

Step-4: Factors of 31691

List of positive integer factors of 31691 that divides 31672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31672 and 31691. The biggest common factor number is the GCF number.
So the greatest common factor 31672 and 31691 is 1.

Also check out the Least Common Multiple of 31672 and 31691