What is the Greatest Common Factor of 70367 and 70371?

Greatest common factor (GCF) of 70367 and 70371 is 1.

GCF(70367,70371) = 1

We will now calculate the prime factors of 70367 and 70371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70367 and 70371.

How to find the GCF of 70367 and 70371?

We will first find the prime factorization of 70367 and 70371. After we will calculate the factors of 70367 and 70371 and find the biggest common factor number .

Step-1: Prime Factorization of 70367

Prime factors of 70367 are 11, 6397. Prime factorization of 70367 in exponential form is:

70367 = 11¹ × 6397¹

Step-2: Prime Factorization of 70371

Prime factors of 70371 are 3, 7, 1117. Prime factorization of 70371 in exponential form is:

70371 = 3² × 7¹ × 1117¹

Step-3: Factors of 70367

List of positive integer factors of 70367 that divides 70367 without a remainder.

1, 11, 6397

Step-4: Factors of 70371

List of positive integer factors of 70371 that divides 70367 without a remainder.

1, 3, 7, 9, 21, 63, 1117, 3351, 7819, 10053, 23457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70367 and 70371. The biggest common factor number is the GCF number.
So the greatest common factor 70367 and 70371 is 1.

Also check out the Least Common Multiple of 70367 and 70371