What is the Greatest Common Factor of 71909 and 71916?

Greatest common factor (GCF) of 71909 and 71916 is 1.

GCF(71909,71916) = 1

We will now calculate the prime factors of 71909 and 71916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71909 and 71916.

How to find the GCF of 71909 and 71916?

We will first find the prime factorization of 71909 and 71916. After we will calculate the factors of 71909 and 71916 and find the biggest common factor number .

Step-1: Prime Factorization of 71909

Prime factors of 71909 are 71909. Prime factorization of 71909 in exponential form is:

71909 = 71909¹

Step-2: Prime Factorization of 71916

Prime factors of 71916 are 2, 3, 13, 461. Prime factorization of 71916 in exponential form is:

71916 = 2² × 3¹ × 13¹ × 461¹

Step-3: Factors of 71909

List of positive integer factors of 71909 that divides 71909 without a remainder.

Step-4: Factors of 71916

List of positive integer factors of 71916 that divides 71909 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 461, 922, 1383, 1844, 2766, 5532, 5993, 11986, 17979, 23972, 35958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71909 and 71916. The biggest common factor number is the GCF number.
So the greatest common factor 71909 and 71916 is 1.

Also check out the Least Common Multiple of 71909 and 71916