What is the Greatest Common Factor of 64876 and 64890?

Greatest common factor (GCF) of 64876 and 64890 is 14.

GCF(64876,64890) = 14

We will now calculate the prime factors of 64876 and 64890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64876 and 64890.

How to find the GCF of 64876 and 64890?

We will first find the prime factorization of 64876 and 64890. After we will calculate the factors of 64876 and 64890 and find the biggest common factor number .

Step-1: Prime Factorization of 64876

Prime factors of 64876 are 2, 7, 331. Prime factorization of 64876 in exponential form is:

64876 = 2² × 7² × 331¹

Step-2: Prime Factorization of 64890

Prime factors of 64890 are 2, 3, 5, 7, 103. Prime factorization of 64890 in exponential form is:

64890 = 2¹ × 3² × 5¹ × 7¹ × 103¹

Step-3: Factors of 64876

List of positive integer factors of 64876 that divides 64876 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 331, 662, 1324, 2317, 4634, 9268, 16219, 32438

Step-4: Factors of 64890

List of positive integer factors of 64890 that divides 64876 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 103, 105, 126, 206, 210, 309, 315, 515, 618, 630, 721, 927, 1030, 1442, 1545, 1854, 2163, 3090, 3605, 4326, 4635, 6489, 7210, 9270, 10815, 12978, 21630, 32445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64876 and 64890. The biggest common factor number is the GCF number.
So the greatest common factor 64876 and 64890 is 14.

Also check out the Least Common Multiple of 64876 and 64890