What is the Greatest Common Factor of 31514 and 31521?

Greatest common factor (GCF) of 31514 and 31521 is 7.

GCF(31514,31521) = 7

We will now calculate the prime factors of 31514 and 31521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31514 and 31521.

How to find the GCF of 31514 and 31521?

We will first find the prime factorization of 31514 and 31521. After we will calculate the factors of 31514 and 31521 and find the biggest common factor number .

Step-1: Prime Factorization of 31514

Prime factors of 31514 are 2, 7, 2251. Prime factorization of 31514 in exponential form is:

31514 = 2¹ × 7¹ × 2251¹

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 31514

List of positive integer factors of 31514 that divides 31514 without a remainder.

1, 2, 7, 14, 2251, 4502, 15757

Step-4: Factors of 31521

List of positive integer factors of 31521 that divides 31514 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 31514 and 31521. The biggest common factor number is the GCF number.
So the greatest common factor 31514 and 31521 is 7.

Also check out the Least Common Multiple of 31514 and 31521