What is the Greatest Common Factor of 31356 and 31374?

Greatest common factor (GCF) of 31356 and 31374 is 18.

GCF(31356,31374) = 18

We will now calculate the prime factors of 31356 and 31374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31356 and 31374.

How to find the GCF of 31356 and 31374?

We will first find the prime factorization of 31356 and 31374. After we will calculate the factors of 31356 and 31374 and find the biggest common factor number .

Step-1: Prime Factorization of 31356

Prime factors of 31356 are 2, 3, 13, 67. Prime factorization of 31356 in exponential form is:

31356 = 2² × 3² × 13¹ × 67¹

Step-2: Prime Factorization of 31374

Prime factors of 31374 are 2, 3, 7, 83. Prime factorization of 31374 in exponential form is:

31374 = 2¹ × 3³ × 7¹ × 83¹

Step-3: Factors of 31356

List of positive integer factors of 31356 that divides 31356 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 67, 78, 117, 134, 156, 201, 234, 268, 402, 468, 603, 804, 871, 1206, 1742, 2412, 2613, 3484, 5226, 7839, 10452, 15678

Step-4: Factors of 31374

List of positive integer factors of 31374 that divides 31356 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 83, 126, 166, 189, 249, 378, 498, 581, 747, 1162, 1494, 1743, 2241, 3486, 4482, 5229, 10458, 15687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31356 and 31374. The biggest common factor number is the GCF number.
So the greatest common factor 31356 and 31374 is 18.

Also check out the Least Common Multiple of 31356 and 31374