What is the Greatest Common Factor of 31140 and 31150?

Greatest common factor (GCF) of 31140 and 31150 is 10.

GCF(31140,31150) = 10

We will now calculate the prime factors of 31140 and 31150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31140 and 31150.

How to find the GCF of 31140 and 31150?

We will first find the prime factorization of 31140 and 31150. After we will calculate the factors of 31140 and 31150 and find the biggest common factor number .

Step-1: Prime Factorization of 31140

Prime factors of 31140 are 2, 3, 5, 173. Prime factorization of 31140 in exponential form is:

31140 = 2² × 3² × 5¹ × 173¹

Step-2: Prime Factorization of 31150

Prime factors of 31150 are 2, 5, 7, 89. Prime factorization of 31150 in exponential form is:

31150 = 2¹ × 5² × 7¹ × 89¹

Step-3: Factors of 31140

List of positive integer factors of 31140 that divides 31140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 173, 180, 346, 519, 692, 865, 1038, 1557, 1730, 2076, 2595, 3114, 3460, 5190, 6228, 7785, 10380, 15570

Step-4: Factors of 31150

List of positive integer factors of 31150 that divides 31140 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 89, 175, 178, 350, 445, 623, 890, 1246, 2225, 3115, 4450, 6230, 15575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31140 and 31150. The biggest common factor number is the GCF number.
So the greatest common factor 31140 and 31150 is 10.

Also check out the Least Common Multiple of 31140 and 31150