What is the Greatest Common Factor of 31354 and 31372?

Greatest common factor (GCF) of 31354 and 31372 is 2.

GCF(31354,31372) = 2

We will now calculate the prime factors of 31354 and 31372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31354 and 31372.

How to find the GCF of 31354 and 31372?

We will first find the prime factorization of 31354 and 31372. After we will calculate the factors of 31354 and 31372 and find the biggest common factor number .

Step-1: Prime Factorization of 31354

Prime factors of 31354 are 2, 61, 257. Prime factorization of 31354 in exponential form is:

31354 = 2¹ × 61¹ × 257¹

Step-2: Prime Factorization of 31372

Prime factors of 31372 are 2, 11, 23, 31. Prime factorization of 31372 in exponential form is:

31372 = 2² × 11¹ × 23¹ × 31¹

Step-3: Factors of 31354

List of positive integer factors of 31354 that divides 31354 without a remainder.

1, 2, 61, 122, 257, 514, 15677

Step-4: Factors of 31372

List of positive integer factors of 31372 that divides 31354 without a remainder.

1, 2, 4, 11, 22, 23, 31, 44, 46, 62, 92, 124, 253, 341, 506, 682, 713, 1012, 1364, 1426, 2852, 7843, 15686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31354 and 31372. The biggest common factor number is the GCF number.
So the greatest common factor 31354 and 31372 is 2.

Also check out the Least Common Multiple of 31354 and 31372