What is the Greatest Common Factor of 71803 and 71812?

Greatest common factor (GCF) of 71803 and 71812 is 1.

GCF(71803,71812) = 1

We will now calculate the prime factors of 71803 and 71812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71803 and 71812.

How to find the GCF of 71803 and 71812?

We will first find the prime factorization of 71803 and 71812. After we will calculate the factors of 71803 and 71812 and find the biggest common factor number .

Step-1: Prime Factorization of 71803

Prime factors of 71803 are 59, 1217. Prime factorization of 71803 in exponential form is:

71803 = 59¹ × 1217¹

Step-2: Prime Factorization of 71812

Prime factors of 71812 are 2, 13, 1381. Prime factorization of 71812 in exponential form is:

71812 = 2² × 13¹ × 1381¹

Step-3: Factors of 71803

List of positive integer factors of 71803 that divides 71803 without a remainder.

1, 59, 1217

Step-4: Factors of 71812

List of positive integer factors of 71812 that divides 71803 without a remainder.

1, 2, 4, 13, 26, 52, 1381, 2762, 5524, 17953, 35906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71803 and 71812. The biggest common factor number is the GCF number.
So the greatest common factor 71803 and 71812 is 1.

Also check out the Least Common Multiple of 71803 and 71812