What is the Greatest Common Factor of 31536 and 31544?

Greatest common factor (GCF) of 31536 and 31544 is 8.

GCF(31536,31544) = 8

We will now calculate the prime factors of 31536 and 31544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31536 and 31544.

How to find the GCF of 31536 and 31544?

We will first find the prime factorization of 31536 and 31544. After we will calculate the factors of 31536 and 31544 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 31544

Prime factors of 31544 are 2, 3943. Prime factorization of 31544 in exponential form is:

31544 = 2³ × 3943¹

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 31544

List of positive integer factors of 31544 that divides 31536 without a remainder.

1, 2, 4, 8, 3943, 7886, 15772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31536 and 31544. The biggest common factor number is the GCF number.
So the greatest common factor 31536 and 31544 is 8.

Also check out the Least Common Multiple of 31536 and 31544