What is the Greatest Common Factor of 71772 and 71786?

Greatest common factor (GCF) of 71772 and 71786 is 2.

GCF(71772,71786) = 2

We will now calculate the prime factors of 71772 and 71786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71772 and 71786.

How to find the GCF of 71772 and 71786?

We will first find the prime factorization of 71772 and 71786. After we will calculate the factors of 71772 and 71786 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 71786

Prime factors of 71786 are 2, 11, 13, 251. Prime factorization of 71786 in exponential form is:

71786 = 2¹ × 11¹ × 13¹ × 251¹

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 71786

List of positive integer factors of 71786 that divides 71772 without a remainder.

1, 2, 11, 13, 22, 26, 143, 251, 286, 502, 2761, 3263, 5522, 6526, 35893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71772 and 71786. The biggest common factor number is the GCF number.
So the greatest common factor 71772 and 71786 is 2.

Also check out the Least Common Multiple of 71772 and 71786