What is the Greatest Common Factor of 71916 and 71921?

Greatest common factor (GCF) of 71916 and 71921 is 1.

GCF(71916,71921) = 1

We will now calculate the prime factors of 71916 and 71921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71916 and 71921.

How to find the GCF of 71916 and 71921?

We will first find the prime factorization of 71916 and 71921. After we will calculate the factors of 71916 and 71921 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71921

Prime factors of 71921 are 23, 53, 59. Prime factorization of 71921 in exponential form is:

71921 = 23¹ × 53¹ × 59¹

Step-3: Factors of 71916

List of positive integer factors of 71916 that divides 71916 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

Step-4: Factors of 71921

List of positive integer factors of 71921 that divides 71916 without a remainder.

1, 23, 53, 59, 1219, 1357, 3127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71916 and 71921. The biggest common factor number is the GCF number.
So the greatest common factor 71916 and 71921 is 1.

Also check out the Least Common Multiple of 71916 and 71921