What is the Greatest Common Factor of 71664 and 71676?

Greatest common factor (GCF) of 71664 and 71676 is 12.

GCF(71664,71676) = 12

We will now calculate the prime factors of 71664 and 71676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71664 and 71676.

How to find the GCF of 71664 and 71676?

We will first find the prime factorization of 71664 and 71676. After we will calculate the factors of 71664 and 71676 and find the biggest common factor number .

Step-1: Prime Factorization of 71664

Prime factors of 71664 are 2, 3, 1493. Prime factorization of 71664 in exponential form is:

71664 = 2⁴ × 3¹ × 1493¹

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 71664

List of positive integer factors of 71664 that divides 71664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1493, 2986, 4479, 5972, 8958, 11944, 17916, 23888, 35832

Step-4: Factors of 71676

List of positive integer factors of 71676 that divides 71664 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 71664 and 71676. The biggest common factor number is the GCF number.
So the greatest common factor 71664 and 71676 is 12.

Also check out the Least Common Multiple of 71664 and 71676