What is the Greatest Common Factor of 31524 and 31544?

Greatest common factor (GCF) of 31524 and 31544 is 4.

GCF(31524,31544) = 4

We will now calculate the prime factors of 31524 and 31544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31524 and 31544.

How to find the GCF of 31524 and 31544?

We will first find the prime factorization of 31524 and 31544. After we will calculate the factors of 31524 and 31544 and find the biggest common factor number .

Step-1: Prime Factorization of 31524

Prime factors of 31524 are 2, 3, 37, 71. Prime factorization of 31524 in exponential form is:

31524 = 2² × 3¹ × 37¹ × 71¹

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 31524

List of positive integer factors of 31524 that divides 31524 without a remainder.

1, 2, 3, 4, 6, 12, 37, 71, 74, 111, 142, 148, 213, 222, 284, 426, 444, 852, 2627, 5254, 7881, 10508, 15762

Step-4: Factors of 31544

List of positive integer factors of 31544 that divides 31524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31524 and 31544. The biggest common factor number is the GCF number.
So the greatest common factor 31524 and 31544 is 4.

Also check out the Least Common Multiple of 31524 and 31544