What is the Greatest Common Factor of 71676 and 71696?

Greatest common factor (GCF) of 71676 and 71696 is 4.

GCF(71676,71696) = 4

We will now calculate the prime factors of 71676 and 71696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71676 and 71696.

How to find the GCF of 71676 and 71696?

We will first find the prime factorization of 71676 and 71696. After we will calculate the factors of 71676 and 71696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71696

Prime factors of 71696 are 2, 4481. Prime factorization of 71696 in exponential form is:

71696 = 2⁴ × 4481¹

Step-3: Factors of 71676

List of positive integer factors of 71676 that divides 71676 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

Step-4: Factors of 71696

List of positive integer factors of 71696 that divides 71676 without a remainder.

1, 2, 4, 8, 16, 4481, 8962, 17924, 35848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71676 and 71696. The biggest common factor number is the GCF number.
So the greatest common factor 71676 and 71696 is 4.

Also check out the Least Common Multiple of 71676 and 71696