What is the Greatest Common Factor of 31507 and 31521?

Greatest common factor (GCF) of 31507 and 31521 is 7.

GCF(31507,31521) = 7

We will now calculate the prime factors of 31507 and 31521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31507 and 31521.

How to find the GCF of 31507 and 31521?

We will first find the prime factorization of 31507 and 31521. After we will calculate the factors of 31507 and 31521 and find the biggest common factor number .

Step-1: Prime Factorization of 31507

Prime factors of 31507 are 7, 643. Prime factorization of 31507 in exponential form is:

31507 = 7² × 643¹

Step-2: Prime Factorization of 31521

Prime factors of 31521 are 3, 7, 19, 79. Prime factorization of 31521 in exponential form is:

31521 = 3¹ × 7¹ × 19¹ × 79¹

Step-3: Factors of 31507

List of positive integer factors of 31507 that divides 31507 without a remainder.

1, 7, 49, 643, 4501

Step-4: Factors of 31521

List of positive integer factors of 31521 that divides 31507 without a remainder.

1, 3, 7, 19, 21, 57, 79, 133, 237, 399, 553, 1501, 1659, 4503, 10507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31507 and 31521. The biggest common factor number is the GCF number.
So the greatest common factor 31507 and 31521 is 7.

Also check out the Least Common Multiple of 31507 and 31521