What is the Greatest Common Factor of 73829 and 73835?

Greatest common factor (GCF) of 73829 and 73835 is 1.

GCF(73829,73835) = 1

We will now calculate the prime factors of 73829 and 73835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73829 and 73835.

How to find the GCF of 73829 and 73835?

We will first find the prime factorization of 73829 and 73835. After we will calculate the factors of 73829 and 73835 and find the biggest common factor number .

Step-1: Prime Factorization of 73829

Prime factors of 73829 are 7, 53, 199. Prime factorization of 73829 in exponential form is:

73829 = 7¹ × 53¹ × 199¹

Step-2: Prime Factorization of 73835

Prime factors of 73835 are 5, 14767. Prime factorization of 73835 in exponential form is:

73835 = 5¹ × 14767¹

Step-3: Factors of 73829

List of positive integer factors of 73829 that divides 73829 without a remainder.

1, 7, 53, 199, 371, 1393, 10547

Step-4: Factors of 73835

List of positive integer factors of 73835 that divides 73829 without a remainder.

1, 5, 14767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73829 and 73835. The biggest common factor number is the GCF number.
So the greatest common factor 73829 and 73835 is 1.

Also check out the Least Common Multiple of 73829 and 73835