What is the Greatest Common Factor of 42731 and 42748?

Greatest common factor (GCF) of 42731 and 42748 is 1.

GCF(42731,42748) = 1

We will now calculate the prime factors of 42731 and 42748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42731 and 42748.

How to find the GCF of 42731 and 42748?

We will first find the prime factorization of 42731 and 42748. After we will calculate the factors of 42731 and 42748 and find the biggest common factor number .

Step-1: Prime Factorization of 42731

Prime factors of 42731 are 13, 19, 173. Prime factorization of 42731 in exponential form is:

42731 = 13¹ × 19¹ × 173¹

Step-2: Prime Factorization of 42748

Prime factors of 42748 are 2, 10687. Prime factorization of 42748 in exponential form is:

42748 = 2² × 10687¹

Step-3: Factors of 42731

List of positive integer factors of 42731 that divides 42731 without a remainder.

1, 13, 19, 173, 247, 2249, 3287

Step-4: Factors of 42748

List of positive integer factors of 42748 that divides 42731 without a remainder.

1, 2, 4, 10687, 21374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42731 and 42748. The biggest common factor number is the GCF number.
So the greatest common factor 42731 and 42748 is 1.

Also check out the Least Common Multiple of 42731 and 42748