What is the Greatest Common Factor of 31332 and 31345?

Greatest common factor (GCF) of 31332 and 31345 is 1.

GCF(31332,31345) = 1

We will now calculate the prime factors of 31332 and 31345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31332 and 31345.

How to find the GCF of 31332 and 31345?

We will first find the prime factorization of 31332 and 31345. After we will calculate the factors of 31332 and 31345 and find the biggest common factor number .

Step-1: Prime Factorization of 31332

Prime factors of 31332 are 2, 3, 7, 373. Prime factorization of 31332 in exponential form is:

31332 = 2² × 3¹ × 7¹ × 373¹

Step-2: Prime Factorization of 31345

Prime factors of 31345 are 5, 6269. Prime factorization of 31345 in exponential form is:

31345 = 5¹ × 6269¹

Step-3: Factors of 31332

List of positive integer factors of 31332 that divides 31332 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 373, 746, 1119, 1492, 2238, 2611, 4476, 5222, 7833, 10444, 15666

Step-4: Factors of 31345

List of positive integer factors of 31345 that divides 31332 without a remainder.

1, 5, 6269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31332 and 31345. The biggest common factor number is the GCF number.
So the greatest common factor 31332 and 31345 is 1.

Also check out the Least Common Multiple of 31332 and 31345