What is the Greatest Common Factor of 31609 and 31629?

Greatest common factor (GCF) of 31609 and 31629 is 1.

GCF(31609,31629) = 1

We will now calculate the prime factors of 31609 and 31629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31609 and 31629.

How to find the GCF of 31609 and 31629?

We will first find the prime factorization of 31609 and 31629. After we will calculate the factors of 31609 and 31629 and find the biggest common factor number .

Step-1: Prime Factorization of 31609

Prime factors of 31609 are 73, 433. Prime factorization of 31609 in exponential form is:

31609 = 73¹ × 433¹

Step-2: Prime Factorization of 31629

Prime factors of 31629 are 3, 13, 811. Prime factorization of 31629 in exponential form is:

31629 = 3¹ × 13¹ × 811¹

Step-3: Factors of 31609

List of positive integer factors of 31609 that divides 31609 without a remainder.

1, 73, 433

Step-4: Factors of 31629

List of positive integer factors of 31629 that divides 31609 without a remainder.

1, 3, 13, 39, 811, 2433, 10543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31609 and 31629. The biggest common factor number is the GCF number.
So the greatest common factor 31609 and 31629 is 1.

Also check out the Least Common Multiple of 31609 and 31629