What is the Greatest Common Factor of 31376 and 31390?

Greatest common factor (GCF) of 31376 and 31390 is 2.

GCF(31376,31390) = 2

We will now calculate the prime factors of 31376 and 31390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31376 and 31390.

How to find the GCF of 31376 and 31390?

We will first find the prime factorization of 31376 and 31390. After we will calculate the factors of 31376 and 31390 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 31390

Prime factors of 31390 are 2, 5, 43, 73. Prime factorization of 31390 in exponential form is:

31390 = 2¹ × 5¹ × 43¹ × 73¹

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 31390

List of positive integer factors of 31390 that divides 31376 without a remainder.

1, 2, 5, 10, 43, 73, 86, 146, 215, 365, 430, 730, 3139, 6278, 15695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31376 and 31390. The biggest common factor number is the GCF number.
So the greatest common factor 31376 and 31390 is 2.

Also check out the Least Common Multiple of 31376 and 31390