What is the Greatest Common Factor of 31356 and 31376?

Greatest common factor (GCF) of 31356 and 31376 is 4.

GCF(31356,31376) = 4

We will now calculate the prime factors of 31356 and 31376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31356 and 31376.

How to find the GCF of 31356 and 31376?

We will first find the prime factorization of 31356 and 31376. After we will calculate the factors of 31356 and 31376 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 31376

Prime factors of 31376 are 2, 37, 53. Prime factorization of 31376 in exponential form is:

31376 = 2⁴ × 37¹ × 53¹

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 31376

List of positive integer factors of 31376 that divides 31356 without a remainder.

1, 2, 4, 8, 16, 37, 53, 74, 106, 148, 212, 296, 424, 592, 848, 1961, 3922, 7844, 15688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31356 and 31376. The biggest common factor number is the GCF number.
So the greatest common factor 31356 and 31376 is 4.

Also check out the Least Common Multiple of 31356 and 31376