What is the Greatest Common Factor of 70829 and 70837?

Greatest common factor (GCF) of 70829 and 70837 is 1.

GCF(70829,70837) = 1

We will now calculate the prime factors of 70829 and 70837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70829 and 70837.

How to find the GCF of 70829 and 70837?

We will first find the prime factorization of 70829 and 70837. After we will calculate the factors of 70829 and 70837 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 70837

Prime factors of 70837 are 13, 5449. Prime factorization of 70837 in exponential form is:

70837 = 13¹ × 5449¹

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 70837

List of positive integer factors of 70837 that divides 70829 without a remainder.

1, 13, 5449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70829 and 70837. The biggest common factor number is the GCF number.
So the greatest common factor 70829 and 70837 is 1.

Also check out the Least Common Multiple of 70829 and 70837