What is the Greatest Common Factor of 71988 and 71994?

Greatest common factor (GCF) of 71988 and 71994 is 6.

GCF(71988,71994) = 6

We will now calculate the prime factors of 71988 and 71994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71988 and 71994.

How to find the GCF of 71988 and 71994?

We will first find the prime factorization of 71988 and 71994. After we will calculate the factors of 71988 and 71994 and find the biggest common factor number .

Step-1: Prime Factorization of 71988

Prime factors of 71988 are 2, 3, 7, 857. Prime factorization of 71988 in exponential form is:

71988 = 2² × 3¹ × 7¹ × 857¹

Step-2: 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-3: Factors of 71988

List of positive integer factors of 71988 that divides 71988 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 857, 1714, 2571, 3428, 5142, 5999, 10284, 11998, 17997, 23996, 35994

Step-4: Factors of 71994

List of positive integer factors of 71994 that divides 71988 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71988 and 71994. The biggest common factor number is the GCF number.
So the greatest common factor 71988 and 71994 is 6.

Also check out the Least Common Multiple of 71988 and 71994