What is the Greatest Common Factor of 31064 and 31068?

Greatest common factor (GCF) of 31064 and 31068 is 4.

GCF(31064,31068) = 4

We will now calculate the prime factors of 31064 and 31068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31064 and 31068.

How to find the GCF of 31064 and 31068?

We will first find the prime factorization of 31064 and 31068. After we will calculate the factors of 31064 and 31068 and find the biggest common factor number .

Step-1: Prime Factorization of 31064

Prime factors of 31064 are 2, 11, 353. Prime factorization of 31064 in exponential form is:

31064 = 2³ × 11¹ × 353¹

Step-2: Prime Factorization of 31068

Prime factors of 31068 are 2, 3, 863. Prime factorization of 31068 in exponential form is:

31068 = 2² × 3² × 863¹

Step-3: Factors of 31064

List of positive integer factors of 31064 that divides 31064 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 353, 706, 1412, 2824, 3883, 7766, 15532

Step-4: Factors of 31068

List of positive integer factors of 31068 that divides 31064 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 863, 1726, 2589, 3452, 5178, 7767, 10356, 15534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31064 and 31068. The biggest common factor number is the GCF number.
So the greatest common factor 31064 and 31068 is 4.

Also check out the Least Common Multiple of 31064 and 31068