What is the Greatest Common Factor of 31376 and 31396?

Greatest common factor (GCF) of 31376 and 31396 is 4.

GCF(31376,31396) = 4

We will now calculate the prime factors of 31376 and 31396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31376 and 31396.

How to find the GCF of 31376 and 31396?

We will first find the prime factorization of 31376 and 31396. After we will calculate the factors of 31376 and 31396 and find the biggest common factor number .

Step-1: Prime Factorization of 31376

Prime factors of 31376 are 2, 37, 53. Prime factorization of 31376 in exponential form is:

31376 = 2⁴ × 37¹ × 53¹

Step-2: Prime Factorization of 31396

Prime factors of 31396 are 2, 47, 167. Prime factorization of 31396 in exponential form is:

31396 = 2² × 47¹ × 167¹

Step-3: Factors of 31376

List of positive integer factors of 31376 that divides 31376 without a remainder.

1, 2, 4, 8, 16, 37, 53, 74, 106, 148, 212, 296, 424, 592, 848, 1961, 3922, 7844, 15688

Step-4: Factors of 31396

List of positive integer factors of 31396 that divides 31376 without a remainder.

1, 2, 4, 47, 94, 167, 188, 334, 668, 7849, 15698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31376 and 31396. The biggest common factor number is the GCF number.
So the greatest common factor 31376 and 31396 is 4.

Also check out the Least Common Multiple of 31376 and 31396