What is the Greatest Common Factor of 31547 and 31552?

Greatest common factor (GCF) of 31547 and 31552 is 1.

GCF(31547,31552) = 1

We will now calculate the prime factors of 31547 and 31552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31547 and 31552.

How to find the GCF of 31547 and 31552?

We will first find the prime factorization of 31547 and 31552. After we will calculate the factors of 31547 and 31552 and find the biggest common factor number .

Step-1: Prime Factorization of 31547

Prime factors of 31547 are 31547. Prime factorization of 31547 in exponential form is:

31547 = 31547¹

Step-2: Prime Factorization of 31552

Prime factors of 31552 are 2, 17, 29. Prime factorization of 31552 in exponential form is:

31552 = 2⁶ × 17¹ × 29¹

Step-3: Factors of 31547

List of positive integer factors of 31547 that divides 31547 without a remainder.

Step-4: Factors of 31552

List of positive integer factors of 31552 that divides 31547 without a remainder.

1, 2, 4, 8, 16, 17, 29, 32, 34, 58, 64, 68, 116, 136, 232, 272, 464, 493, 544, 928, 986, 1088, 1856, 1972, 3944, 7888, 15776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31547 and 31552. The biggest common factor number is the GCF number.
So the greatest common factor 31547 and 31552 is 1.

Also check out the Least Common Multiple of 31547 and 31552