What is the Greatest Common Factor of 71668 and 71676?

Greatest common factor (GCF) of 71668 and 71676 is 4.

GCF(71668,71676) = 4

We will now calculate the prime factors of 71668 and 71676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71668 and 71676.

How to find the GCF of 71668 and 71676?

We will first find the prime factorization of 71668 and 71676. After we will calculate the factors of 71668 and 71676 and find the biggest common factor number .

Step-1: Prime Factorization of 71668

Prime factors of 71668 are 2, 19, 23, 41. Prime factorization of 71668 in exponential form is:

71668 = 2² × 19¹ × 23¹ × 41¹

Step-2: Prime Factorization of 71676

Prime factors of 71676 are 2, 3, 11, 181. Prime factorization of 71676 in exponential form is:

71676 = 2² × 3² × 11¹ × 181¹

Step-3: Factors of 71668

List of positive integer factors of 71668 that divides 71668 without a remainder.

1, 2, 4, 19, 23, 38, 41, 46, 76, 82, 92, 164, 437, 779, 874, 943, 1558, 1748, 1886, 3116, 3772, 17917, 35834

Step-4: Factors of 71676

List of positive integer factors of 71676 that divides 71668 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 181, 198, 362, 396, 543, 724, 1086, 1629, 1991, 2172, 3258, 3982, 5973, 6516, 7964, 11946, 17919, 23892, 35838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71668 and 71676. The biggest common factor number is the GCF number.
So the greatest common factor 71668 and 71676 is 4.

Also check out the Least Common Multiple of 71668 and 71676