What is the Greatest Common Factor of 31528 and 31547?

Greatest common factor (GCF) of 31528 and 31547 is 1.

GCF(31528,31547) = 1

We will now calculate the prime factors of 31528 and 31547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31528 and 31547.

How to find the GCF of 31528 and 31547?

We will first find the prime factorization of 31528 and 31547. After we will calculate the factors of 31528 and 31547 and find the biggest common factor number .

Step-1: Prime Factorization of 31528

Prime factors of 31528 are 2, 7, 563. Prime factorization of 31528 in exponential form is:

31528 = 2³ × 7¹ × 563¹

Step-2: Prime Factorization of 31547

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

31547 = 31547¹

Step-3: Factors of 31528

List of positive integer factors of 31528 that divides 31528 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 563, 1126, 2252, 3941, 4504, 7882, 15764

Step-4: Factors of 31547

List of positive integer factors of 31547 that divides 31528 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31528 and 31547. The biggest common factor number is the GCF number.
So the greatest common factor 31528 and 31547 is 1.

Also check out the Least Common Multiple of 31528 and 31547