What is the Greatest Common Factor of 71742 and 71756?

Greatest common factor (GCF) of 71742 and 71756 is 2.

GCF(71742,71756) = 2

We will now calculate the prime factors of 71742 and 71756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71742 and 71756.

How to find the GCF of 71742 and 71756?

We will first find the prime factorization of 71742 and 71756. After we will calculate the factors of 71742 and 71756 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71756

Prime factors of 71756 are 2, 17939. Prime factorization of 71756 in exponential form is:

71756 = 2² × 17939¹

Step-3: Factors of 71742

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

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

Step-4: Factors of 71756

List of positive integer factors of 71756 that divides 71742 without a remainder.

1, 2, 4, 17939, 35878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71742 and 71756. The biggest common factor number is the GCF number.
So the greatest common factor 71742 and 71756 is 2.

Also check out the Least Common Multiple of 71742 and 71756