What is the Greatest Common Factor of 31080 and 31090?

Greatest common factor (GCF) of 31080 and 31090 is 10.

GCF(31080,31090) = 10

We will now calculate the prime factors of 31080 and 31090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31080 and 31090.

How to find the GCF of 31080 and 31090?

We will first find the prime factorization of 31080 and 31090. After we will calculate the factors of 31080 and 31090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31090

Prime factors of 31090 are 2, 5, 3109. Prime factorization of 31090 in exponential form is:

31090 = 2¹ × 5¹ × 3109¹

Step-3: Factors of 31080

List of positive integer factors of 31080 that divides 31080 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

Step-4: Factors of 31090

List of positive integer factors of 31090 that divides 31080 without a remainder.

1, 2, 5, 10, 3109, 6218, 15545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31080 and 31090. The biggest common factor number is the GCF number.
So the greatest common factor 31080 and 31090 is 10.

Also check out the Least Common Multiple of 31080 and 31090