What is the Greatest Common Factor of 31422 and 31440?

Greatest common factor (GCF) of 31422 and 31440 is 6.

GCF(31422,31440) = 6

We will now calculate the prime factors of 31422 and 31440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31422 and 31440.

How to find the GCF of 31422 and 31440?

We will first find the prime factorization of 31422 and 31440. After we will calculate the factors of 31422 and 31440 and find the biggest common factor number .

Step-1: Prime Factorization of 31422

Prime factors of 31422 are 2, 3, 5237. Prime factorization of 31422 in exponential form is:

31422 = 2¹ × 3¹ × 5237¹

Step-2: 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-3: Factors of 31422

List of positive integer factors of 31422 that divides 31422 without a remainder.

1, 2, 3, 6, 5237, 10474, 15711

Step-4: Factors of 31440

List of positive integer factors of 31440 that divides 31422 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31422 and 31440. The biggest common factor number is the GCF number.
So the greatest common factor 31422 and 31440 is 6.

Also check out the Least Common Multiple of 31422 and 31440