What is the Greatest Common Factor of 71989 and 71994?

Greatest common factor (GCF) of 71989 and 71994 is 1.

GCF(71989,71994) = 1

We will now calculate the prime factors of 71989 and 71994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71989 and 71994.

How to find the GCF of 71989 and 71994?

We will first find the prime factorization of 71989 and 71994. After we will calculate the factors of 71989 and 71994 and find the biggest common factor number .

Step-1: Prime Factorization of 71989

Prime factors of 71989 are 193, 373. Prime factorization of 71989 in exponential form is:

71989 = 193¹ × 373¹

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 71989

List of positive integer factors of 71989 that divides 71989 without a remainder.

1, 193, 373

Step-4: Factors of 71994

List of positive integer factors of 71994 that divides 71989 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 71989 and 71994. The biggest common factor number is the GCF number.
So the greatest common factor 71989 and 71994 is 1.

Also check out the Least Common Multiple of 71989 and 71994