What is the Greatest Common Factor of 31458 and 31465?

Greatest common factor (GCF) of 31458 and 31465 is 7.

GCF(31458,31465) = 7

We will now calculate the prime factors of 31458 and 31465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31458 and 31465.

How to find the GCF of 31458 and 31465?

We will first find the prime factorization of 31458 and 31465. After we will calculate the factors of 31458 and 31465 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 31465

Prime factors of 31465 are 5, 7, 29, 31. Prime factorization of 31465 in exponential form is:

31465 = 5¹ × 7¹ × 29¹ × 31¹

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 31465

List of positive integer factors of 31465 that divides 31458 without a remainder.

1, 5, 7, 29, 31, 35, 145, 155, 203, 217, 899, 1015, 1085, 4495, 6293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31458 and 31465. The biggest common factor number is the GCF number.
So the greatest common factor 31458 and 31465 is 7.

Also check out the Least Common Multiple of 31458 and 31465