What is the Greatest Common Factor of 71731 and 71742?

Greatest common factor (GCF) of 71731 and 71742 is 11.

GCF(71731,71742) = 11

We will now calculate the prime factors of 71731 and 71742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71731 and 71742.

How to find the GCF of 71731 and 71742?

We will first find the prime factorization of 71731 and 71742. After we will calculate the factors of 71731 and 71742 and find the biggest common factor number .

Step-1: Prime Factorization of 71731

Prime factors of 71731 are 11, 6521. Prime factorization of 71731 in exponential form is:

71731 = 11¹ × 6521¹

Step-2: Prime Factorization of 71742

Prime factors of 71742 are 2, 3, 11, 1087. Prime factorization of 71742 in exponential form is:

71742 = 2¹ × 3¹ × 11¹ × 1087¹

Step-3: Factors of 71731

List of positive integer factors of 71731 that divides 71731 without a remainder.

1, 11, 6521

Step-4: Factors of 71742

List of positive integer factors of 71742 that divides 71731 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1087, 2174, 3261, 6522, 11957, 23914, 35871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71731 and 71742. The biggest common factor number is the GCF number.
So the greatest common factor 71731 and 71742 is 11.

Also check out the Least Common Multiple of 71731 and 71742