What is the Greatest Common Factor of 75829 and 75846?

Greatest common factor (GCF) of 75829 and 75846 is 1.

GCF(75829,75846) = 1

We will now calculate the prime factors of 75829 and 75846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75829 and 75846.

How to find the GCF of 75829 and 75846?

We will first find the prime factorization of 75829 and 75846. After we will calculate the factors of 75829 and 75846 and find the biggest common factor number .

Step-1: Prime Factorization of 75829

Prime factors of 75829 are 13, 19, 307. Prime factorization of 75829 in exponential form is:

75829 = 13¹ × 19¹ × 307¹

Step-2: Prime Factorization of 75846

Prime factors of 75846 are 2, 3, 12641. Prime factorization of 75846 in exponential form is:

75846 = 2¹ × 3¹ × 12641¹

Step-3: Factors of 75829

List of positive integer factors of 75829 that divides 75829 without a remainder.

1, 13, 19, 247, 307, 3991, 5833

Step-4: Factors of 75846

List of positive integer factors of 75846 that divides 75829 without a remainder.

1, 2, 3, 6, 12641, 25282, 37923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75829 and 75846. The biggest common factor number is the GCF number.
So the greatest common factor 75829 and 75846 is 1.

Also check out the Least Common Multiple of 75829 and 75846