What is the Greatest Common Factor of 70971 and 70978?

Greatest common factor (GCF) of 70971 and 70978 is 1.

GCF(70971,70978) = 1

We will now calculate the prime factors of 70971 and 70978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70971 and 70978.

How to find the GCF of 70971 and 70978?

We will first find the prime factorization of 70971 and 70978. After we will calculate the factors of 70971 and 70978 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 70978

Prime factors of 70978 are 2, 23, 1543. Prime factorization of 70978 in exponential form is:

70978 = 2¹ × 23¹ × 1543¹

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 70978

List of positive integer factors of 70978 that divides 70971 without a remainder.

1, 2, 23, 46, 1543, 3086, 35489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70971 and 70978. The biggest common factor number is the GCF number.
So the greatest common factor 70971 and 70978 is 1.

Also check out the Least Common Multiple of 70971 and 70978