What is the Greatest Common Factor of 70989 and 71001?

Greatest common factor (GCF) of 70989 and 71001 is 3.

GCF(70989,71001) = 3

We will now calculate the prime factors of 70989 and 71001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70989 and 71001.

How to find the GCF of 70989 and 71001?

We will first find the prime factorization of 70989 and 71001. After we will calculate the factors of 70989 and 71001 and find the biggest common factor number .

Step-1: Prime Factorization of 70989

Prime factors of 70989 are 3, 23663. Prime factorization of 70989 in exponential form is:

70989 = 3¹ × 23663¹

Step-2: Prime Factorization of 71001

Prime factors of 71001 are 3, 7, 23. Prime factorization of 71001 in exponential form is:

71001 = 3² × 7³ × 23¹

Step-3: Factors of 70989

List of positive integer factors of 70989 that divides 70989 without a remainder.

1, 3, 23663

Step-4: Factors of 71001

List of positive integer factors of 71001 that divides 70989 without a remainder.

1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 343, 441, 483, 1029, 1127, 1449, 3087, 3381, 7889, 10143, 23667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70989 and 71001. The biggest common factor number is the GCF number.
So the greatest common factor 70989 and 71001 is 3.

Also check out the Least Common Multiple of 70989 and 71001