What is the Greatest Common Factor of 31609 and 31624?

Greatest common factor (GCF) of 31609 and 31624 is 1.

GCF(31609,31624) = 1

We will now calculate the prime factors of 31609 and 31624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31609 and 31624.

How to find the GCF of 31609 and 31624?

We will first find the prime factorization of 31609 and 31624. After we will calculate the factors of 31609 and 31624 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 31624

Prime factors of 31624 are 2, 59, 67. Prime factorization of 31624 in exponential form is:

31624 = 2³ × 59¹ × 67¹

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 31624

List of positive integer factors of 31624 that divides 31609 without a remainder.

1, 2, 4, 8, 59, 67, 118, 134, 236, 268, 472, 536, 3953, 7906, 15812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31609 and 31624. The biggest common factor number is the GCF number.
So the greatest common factor 31609 and 31624 is 1.

Also check out the Least Common Multiple of 31609 and 31624