What is the Greatest Common Factor of 70971 and 70976?

Greatest common factor (GCF) of 70971 and 70976 is 1.

GCF(70971,70976) = 1

We will now calculate the prime factors of 70971 and 70976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70971 and 70976.

How to find the GCF of 70971 and 70976?

We will first find the prime factorization of 70971 and 70976. After we will calculate the factors of 70971 and 70976 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 70976

Prime factors of 70976 are 2, 1109. Prime factorization of 70976 in exponential form is:

70976 = 2⁶ × 1109¹

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 70976

List of positive integer factors of 70976 that divides 70971 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1109, 2218, 4436, 8872, 17744, 35488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70971 and 70976. The biggest common factor number is the GCF number.
So the greatest common factor 70971 and 70976 is 1.

Also check out the Least Common Multiple of 70971 and 70976