What is the Greatest Common Factor of 73829 and 73844?

Greatest common factor (GCF) of 73829 and 73844 is 1.

GCF(73829,73844) = 1

We will now calculate the prime factors of 73829 and 73844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73829 and 73844.

How to find the GCF of 73829 and 73844?

We will first find the prime factorization of 73829 and 73844. After we will calculate the factors of 73829 and 73844 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 73844

Prime factors of 73844 are 2, 18461. Prime factorization of 73844 in exponential form is:

73844 = 2² × 18461¹

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 73844

List of positive integer factors of 73844 that divides 73829 without a remainder.

1, 2, 4, 18461, 36922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73829 and 73844. The biggest common factor number is the GCF number.
So the greatest common factor 73829 and 73844 is 1.

Also check out the Least Common Multiple of 73829 and 73844