What is the Greatest Common Factor of 70829 and 70841?

Greatest common factor (GCF) of 70829 and 70841 is 1.

GCF(70829,70841) = 1

We will now calculate the prime factors of 70829 and 70841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70829 and 70841.

How to find the GCF of 70829 and 70841?

We will first find the prime factorization of 70829 and 70841. After we will calculate the factors of 70829 and 70841 and find the biggest common factor number .

Step-1: Prime Factorization of 70829

Prime factors of 70829 are 11, 47, 137. Prime factorization of 70829 in exponential form is:

70829 = 11¹ × 47¹ × 137¹

Step-2: Prime Factorization of 70841

Prime factors of 70841 are 70841. Prime factorization of 70841 in exponential form is:

70841 = 70841¹

Step-3: Factors of 70829

List of positive integer factors of 70829 that divides 70829 without a remainder.

1, 11, 47, 137, 517, 1507, 6439

Step-4: Factors of 70841

List of positive integer factors of 70841 that divides 70829 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70829 and 70841. The biggest common factor number is the GCF number.
So the greatest common factor 70829 and 70841 is 1.

Also check out the Least Common Multiple of 70829 and 70841