What is the Greatest Common Factor of 71994 and 72006?

Greatest common factor (GCF) of 71994 and 72006 is 6.

GCF(71994,72006) = 6

We will now calculate the prime factors of 71994 and 72006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71994 and 72006.

How to find the GCF of 71994 and 72006?

We will first find the prime factorization of 71994 and 72006. After we will calculate the factors of 71994 and 72006 and find the biggest common factor number .

Step-1: Prime Factorization of 71994

Prime factors of 71994 are 2, 3, 13, 71. Prime factorization of 71994 in exponential form is:

71994 = 2¹ × 3¹ × 13² × 71¹

Step-2: Prime Factorization of 72006

Prime factors of 72006 are 2, 3, 11, 1091. Prime factorization of 72006 in exponential form is:

72006 = 2¹ × 3¹ × 11¹ × 1091¹

Step-3: Factors of 71994

List of positive integer factors of 71994 that divides 71994 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 169, 213, 338, 426, 507, 923, 1014, 1846, 2769, 5538, 11999, 23998, 35997

Step-4: Factors of 72006

List of positive integer factors of 72006 that divides 71994 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1091, 2182, 3273, 6546, 12001, 24002, 36003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71994 and 72006. The biggest common factor number is the GCF number.
So the greatest common factor 71994 and 72006 is 6.

Also check out the Least Common Multiple of 71994 and 72006