What is the Greatest Common Factor of 31440 and 31450?

Greatest common factor (GCF) of 31440 and 31450 is 10.

GCF(31440,31450) = 10

We will now calculate the prime factors of 31440 and 31450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31440 and 31450.

How to find the GCF of 31440 and 31450?

We will first find the prime factorization of 31440 and 31450. After we will calculate the factors of 31440 and 31450 and find the biggest common factor number .

Step-1: Prime Factorization of 31440

Prime factors of 31440 are 2, 3, 5, 131. Prime factorization of 31440 in exponential form is:

31440 = 2⁴ × 3¹ × 5¹ × 131¹

Step-2: Prime Factorization of 31450

Prime factors of 31450 are 2, 5, 17, 37. Prime factorization of 31450 in exponential form is:

31450 = 2¹ × 5² × 17¹ × 37¹

Step-3: Factors of 31440

List of positive integer factors of 31440 that divides 31440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 131, 240, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2096, 2620, 3144, 3930, 5240, 6288, 7860, 10480, 15720

Step-4: Factors of 31450

List of positive integer factors of 31450 that divides 31440 without a remainder.

1, 2, 5, 10, 17, 25, 34, 37, 50, 74, 85, 170, 185, 370, 425, 629, 850, 925, 1258, 1850, 3145, 6290, 15725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31440 and 31450. The biggest common factor number is the GCF number.
So the greatest common factor 31440 and 31450 is 10.

Also check out the Least Common Multiple of 31440 and 31450