What is the Greatest Common Factor of 31640 and 31658?

Greatest common factor (GCF) of 31640 and 31658 is 2.

GCF(31640,31658) = 2

We will now calculate the prime factors of 31640 and 31658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31640 and 31658.

How to find the GCF of 31640 and 31658?

We will first find the prime factorization of 31640 and 31658. After we will calculate the factors of 31640 and 31658 and find the biggest common factor number .

Step-1: Prime Factorization of 31640

Prime factors of 31640 are 2, 5, 7, 113. Prime factorization of 31640 in exponential form is:

31640 = 2³ × 5¹ × 7¹ × 113¹

Step-2: Prime Factorization of 31658

Prime factors of 31658 are 2, 11, 1439. Prime factorization of 31658 in exponential form is:

31658 = 2¹ × 11¹ × 1439¹

Step-3: Factors of 31640

List of positive integer factors of 31640 that divides 31640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 113, 140, 226, 280, 452, 565, 791, 904, 1130, 1582, 2260, 3164, 3955, 4520, 6328, 7910, 15820

Step-4: Factors of 31658

List of positive integer factors of 31658 that divides 31640 without a remainder.

1, 2, 11, 22, 1439, 2878, 15829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31640 and 31658. The biggest common factor number is the GCF number.
So the greatest common factor 31640 and 31658 is 2.

Also check out the Least Common Multiple of 31640 and 31658