What is the Greatest Common Factor of 70971 and 70981?

Greatest common factor (GCF) of 70971 and 70981 is 1.

GCF(70971,70981) = 1

We will now calculate the prime factors of 70971 and 70981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70971 and 70981.

How to find the GCF of 70971 and 70981?

We will first find the prime factorization of 70971 and 70981. After we will calculate the factors of 70971 and 70981 and find the biggest common factor number .

Step-1: Prime Factorization of 70971

Prime factors of 70971 are 3, 41, 577. Prime factorization of 70971 in exponential form is:

70971 = 3¹ × 41¹ × 577¹

Step-2: Prime Factorization of 70981

Prime factors of 70981 are 70981. Prime factorization of 70981 in exponential form is:

70981 = 70981¹

Step-3: Factors of 70971

List of positive integer factors of 70971 that divides 70971 without a remainder.

1, 3, 41, 123, 577, 1731, 23657

Step-4: Factors of 70981

List of positive integer factors of 70981 that divides 70971 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70971 and 70981. The biggest common factor number is the GCF number.
So the greatest common factor 70971 and 70981 is 1.

Also check out the Least Common Multiple of 70971 and 70981