What is the Greatest Common Factor of 31080 and 31098?

Greatest common factor (GCF) of 31080 and 31098 is 6.

GCF(31080,31098) = 6

We will now calculate the prime factors of 31080 and 31098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31080 and 31098.

How to find the GCF of 31080 and 31098?

We will first find the prime factorization of 31080 and 31098. After we will calculate the factors of 31080 and 31098 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 31098

Prime factors of 31098 are 2, 3, 71, 73. Prime factorization of 31098 in exponential form is:

31098 = 2¹ × 3¹ × 71¹ × 73¹

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 31098

List of positive integer factors of 31098 that divides 31080 without a remainder.

1, 2, 3, 6, 71, 73, 142, 146, 213, 219, 426, 438, 5183, 10366, 15549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31080 and 31098. The biggest common factor number is the GCF number.
So the greatest common factor 31080 and 31098 is 6.

Also check out the Least Common Multiple of 31080 and 31098