What is the Greatest Common Factor of 31536 and 31545?

Greatest common factor (GCF) of 31536 and 31545 is 9.

GCF(31536,31545) = 9

We will now calculate the prime factors of 31536 and 31545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31536 and 31545.

How to find the GCF of 31536 and 31545?

We will first find the prime factorization of 31536 and 31545. After we will calculate the factors of 31536 and 31545 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31545

Prime factors of 31545 are 3, 5, 701. Prime factorization of 31545 in exponential form is:

31545 = 3² × 5¹ × 701¹

Step-3: Factors of 31536

List of positive integer factors of 31536 that divides 31536 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

Step-4: Factors of 31545

List of positive integer factors of 31545 that divides 31536 without a remainder.

1, 3, 5, 9, 15, 45, 701, 2103, 3505, 6309, 10515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31536 and 31545. The biggest common factor number is the GCF number.
So the greatest common factor 31536 and 31545 is 9.

Also check out the Least Common Multiple of 31536 and 31545