What is the Greatest Common Factor of 31340 and 31352?

Greatest common factor (GCF) of 31340 and 31352 is 4.

GCF(31340,31352) = 4

We will now calculate the prime factors of 31340 and 31352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31340 and 31352.

How to find the GCF of 31340 and 31352?

We will first find the prime factorization of 31340 and 31352. After we will calculate the factors of 31340 and 31352 and find the biggest common factor number .

Step-1: Prime Factorization of 31340

Prime factors of 31340 are 2, 5, 1567. Prime factorization of 31340 in exponential form is:

31340 = 2² × 5¹ × 1567¹

Step-2: Prime Factorization of 31352

Prime factors of 31352 are 2, 3919. Prime factorization of 31352 in exponential form is:

31352 = 2³ × 3919¹

Step-3: Factors of 31340

List of positive integer factors of 31340 that divides 31340 without a remainder.

1, 2, 4, 5, 10, 20, 1567, 3134, 6268, 7835, 15670

Step-4: Factors of 31352

List of positive integer factors of 31352 that divides 31340 without a remainder.

1, 2, 4, 8, 3919, 7838, 15676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31340 and 31352. The biggest common factor number is the GCF number.
So the greatest common factor 31340 and 31352 is 4.

Also check out the Least Common Multiple of 31340 and 31352