What is the Greatest Common Factor of 31295 and 31306?

Greatest common factor (GCF) of 31295 and 31306 is 11.

GCF(31295,31306) = 11

We will now calculate the prime factors of 31295 and 31306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31295 and 31306.

How to find the GCF of 31295 and 31306?

We will first find the prime factorization of 31295 and 31306. After we will calculate the factors of 31295 and 31306 and find the biggest common factor number .

Step-1: Prime Factorization of 31295

Prime factors of 31295 are 5, 11, 569. Prime factorization of 31295 in exponential form is:

31295 = 5¹ × 11¹ × 569¹

Step-2: Prime Factorization of 31306

Prime factors of 31306 are 2, 11, 1423. Prime factorization of 31306 in exponential form is:

31306 = 2¹ × 11¹ × 1423¹

Step-3: Factors of 31295

List of positive integer factors of 31295 that divides 31295 without a remainder.

1, 5, 11, 55, 569, 2845, 6259

Step-4: Factors of 31306

List of positive integer factors of 31306 that divides 31295 without a remainder.

1, 2, 11, 22, 1423, 2846, 15653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31295 and 31306. The biggest common factor number is the GCF number.
So the greatest common factor 31295 and 31306 is 11.

Also check out the Least Common Multiple of 31295 and 31306