What is the Greatest Common Factor of 31312 and 31332?

Greatest common factor (GCF) of 31312 and 31332 is 4.

GCF(31312,31332) = 4

We will now calculate the prime factors of 31312 and 31332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31312 and 31332.

How to find the GCF of 31312 and 31332?

We will first find the prime factorization of 31312 and 31332. After we will calculate the factors of 31312 and 31332 and find the biggest common factor number .

Step-1: Prime Factorization of 31312

Prime factors of 31312 are 2, 19, 103. Prime factorization of 31312 in exponential form is:

31312 = 2⁴ × 19¹ × 103¹

Step-2: 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-3: Factors of 31312

List of positive integer factors of 31312 that divides 31312 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 103, 152, 206, 304, 412, 824, 1648, 1957, 3914, 7828, 15656

Step-4: Factors of 31332

List of positive integer factors of 31332 that divides 31312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31312 and 31332. The biggest common factor number is the GCF number.
So the greatest common factor 31312 and 31332 is 4.

Also check out the Least Common Multiple of 31312 and 31332