What is the Greatest Common Factor of 31300 and 31306?

Greatest common factor (GCF) of 31300 and 31306 is 2.

GCF(31300,31306) = 2

We will now calculate the prime factors of 31300 and 31306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31300 and 31306.

How to find the GCF of 31300 and 31306?

We will first find the prime factorization of 31300 and 31306. After we will calculate the factors of 31300 and 31306 and find the biggest common factor number .

Step-1: Prime Factorization of 31300

Prime factors of 31300 are 2, 5, 313. Prime factorization of 31300 in exponential form is:

31300 = 2² × 5² × 313¹

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 31300

List of positive integer factors of 31300 that divides 31300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 313, 626, 1252, 1565, 3130, 6260, 7825, 15650

Step-4: Factors of 31306

List of positive integer factors of 31306 that divides 31300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31300 and 31306. The biggest common factor number is the GCF number.
So the greatest common factor 31300 and 31306 is 2.

Also check out the Least Common Multiple of 31300 and 31306