What is the Greatest Common Factor of 71754 and 71772?

Greatest common factor (GCF) of 71754 and 71772 is 6.

GCF(71754,71772) = 6

We will now calculate the prime factors of 71754 and 71772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71754 and 71772.

How to find the GCF of 71754 and 71772?

We will first find the prime factorization of 71754 and 71772. After we will calculate the factors of 71754 and 71772 and find the biggest common factor number .

Step-1: Prime Factorization of 71754

Prime factors of 71754 are 2, 3, 11959. Prime factorization of 71754 in exponential form is:

71754 = 2¹ × 3¹ × 11959¹

Step-2: Prime Factorization of 71772

Prime factors of 71772 are 2, 3, 5981. Prime factorization of 71772 in exponential form is:

71772 = 2² × 3¹ × 5981¹

Step-3: Factors of 71754

List of positive integer factors of 71754 that divides 71754 without a remainder.

1, 2, 3, 6, 11959, 23918, 35877

Step-4: Factors of 71772

List of positive integer factors of 71772 that divides 71754 without a remainder.

1, 2, 3, 4, 6, 12, 5981, 11962, 17943, 23924, 35886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71754 and 71772. The biggest common factor number is the GCF number.
So the greatest common factor 71754 and 71772 is 6.

Also check out the Least Common Multiple of 71754 and 71772