What is the Greatest Common Factor of 31064 and 31080?

Greatest common factor (GCF) of 31064 and 31080 is 8.

GCF(31064,31080) = 8

We will now calculate the prime factors of 31064 and 31080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31064 and 31080.

How to find the GCF of 31064 and 31080?

We will first find the prime factorization of 31064 and 31080. After we will calculate the factors of 31064 and 31080 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 31080

Prime factors of 31080 are 2, 3, 5, 7, 37. Prime factorization of 31080 in exponential form is:

31080 = 2³ × 3¹ × 5¹ × 7¹ × 37¹

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 31080

List of positive integer factors of 31080 that divides 31064 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 37, 40, 42, 56, 60, 70, 74, 84, 105, 111, 120, 140, 148, 168, 185, 210, 222, 259, 280, 296, 370, 420, 444, 518, 555, 740, 777, 840, 888, 1036, 1110, 1295, 1480, 1554, 2072, 2220, 2590, 3108, 3885, 4440, 5180, 6216, 7770, 10360, 15540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31064 and 31080. The biggest common factor number is the GCF number.
So the greatest common factor 31064 and 31080 is 8.

Also check out the Least Common Multiple of 31064 and 31080