What is the Greatest Common Factor of 31523 and 31536?

Greatest common factor (GCF) of 31523 and 31536 is 1.

GCF(31523,31536) = 1

We will now calculate the prime factors of 31523 and 31536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31523 and 31536.

How to find the GCF of 31523 and 31536?

We will first find the prime factorization of 31523 and 31536. After we will calculate the factors of 31523 and 31536 and find the biggest common factor number .

Step-1: Prime Factorization of 31523

Prime factors of 31523 are 29, 1087. Prime factorization of 31523 in exponential form is:

31523 = 29¹ × 1087¹

Step-2: Prime Factorization of 31536

Prime factors of 31536 are 2, 3, 73. Prime factorization of 31536 in exponential form is:

31536 = 2⁴ × 3³ × 73¹

Step-3: Factors of 31523

List of positive integer factors of 31523 that divides 31523 without a remainder.

1, 29, 1087

Step-4: Factors of 31536

List of positive integer factors of 31536 that divides 31523 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 73, 108, 144, 146, 216, 219, 292, 432, 438, 584, 657, 876, 1168, 1314, 1752, 1971, 2628, 3504, 3942, 5256, 7884, 10512, 15768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31523 and 31536. The biggest common factor number is the GCF number.
So the greatest common factor 31523 and 31536 is 1.

Also check out the Least Common Multiple of 31523 and 31536