What is the Greatest Common Factor of 31458 and 31474?

Greatest common factor (GCF) of 31458 and 31474 is 2.

GCF(31458,31474) = 2

We will now calculate the prime factors of 31458 and 31474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31458 and 31474.

How to find the GCF of 31458 and 31474?

We will first find the prime factorization of 31458 and 31474. After we will calculate the factors of 31458 and 31474 and find the biggest common factor number .

Step-1: Prime Factorization of 31458

Prime factors of 31458 are 2, 3, 7, 107. Prime factorization of 31458 in exponential form is:

31458 = 2¹ × 3¹ × 7² × 107¹

Step-2: Prime Factorization of 31474

Prime factors of 31474 are 2, 15737. Prime factorization of 31474 in exponential form is:

31474 = 2¹ × 15737¹

Step-3: Factors of 31458

List of positive integer factors of 31458 that divides 31458 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 107, 147, 214, 294, 321, 642, 749, 1498, 2247, 4494, 5243, 10486, 15729

Step-4: Factors of 31474

List of positive integer factors of 31474 that divides 31458 without a remainder.

1, 2, 15737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31458 and 31474. The biggest common factor number is the GCF number.
So the greatest common factor 31458 and 31474 is 2.

Also check out the Least Common Multiple of 31458 and 31474