What is the Greatest Common Factor of 71876 and 71890?

Greatest common factor (GCF) of 71876 and 71890 is 14.

GCF(71876,71890) = 14

We will now calculate the prime factors of 71876 and 71890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71876 and 71890.

How to find the GCF of 71876 and 71890?

We will first find the prime factorization of 71876 and 71890. After we will calculate the factors of 71876 and 71890 and find the biggest common factor number .

Step-1: Prime Factorization of 71876

Prime factors of 71876 are 2, 7, 17, 151. Prime factorization of 71876 in exponential form is:

71876 = 2² × 7¹ × 17¹ × 151¹

Step-2: Prime Factorization of 71890

Prime factors of 71890 are 2, 5, 7, 13, 79. Prime factorization of 71890 in exponential form is:

71890 = 2¹ × 5¹ × 7¹ × 13¹ × 79¹

Step-3: Factors of 71876

List of positive integer factors of 71876 that divides 71876 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 151, 238, 302, 476, 604, 1057, 2114, 2567, 4228, 5134, 10268, 17969, 35938

Step-4: Factors of 71890

List of positive integer factors of 71890 that divides 71876 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 79, 91, 130, 158, 182, 395, 455, 553, 790, 910, 1027, 1106, 2054, 2765, 5135, 5530, 7189, 10270, 14378, 35945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71876 and 71890. The biggest common factor number is the GCF number.
So the greatest common factor 71876 and 71890 is 14.

Also check out the Least Common Multiple of 71876 and 71890