What is the Greatest Common Factor of 71772 and 71782?

Greatest common factor (GCF) of 71772 and 71782 is 2.

GCF(71772,71782) = 2

We will now calculate the prime factors of 71772 and 71782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71772 and 71782.

How to find the GCF of 71772 and 71782?

We will first find the prime factorization of 71772 and 71782. After we will calculate the factors of 71772 and 71782 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71782

Prime factors of 71782 are 2, 19, 1889. Prime factorization of 71782 in exponential form is:

71782 = 2¹ × 19¹ × 1889¹

Step-3: Factors of 71772

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

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

Step-4: Factors of 71782

List of positive integer factors of 71782 that divides 71772 without a remainder.

1, 2, 19, 38, 1889, 3778, 35891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71772 and 71782. The biggest common factor number is the GCF number.
So the greatest common factor 71772 and 71782 is 2.

Also check out the Least Common Multiple of 71772 and 71782