What is the Greatest Common Factor of 84877 and 84890?

Greatest common factor (GCF) of 84877 and 84890 is 13.

GCF(84877,84890) = 13

We will now calculate the prime factors of 84877 and 84890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84877 and 84890.

How to find the GCF of 84877 and 84890?

We will first find the prime factorization of 84877 and 84890. After we will calculate the factors of 84877 and 84890 and find the biggest common factor number .

Step-1: Prime Factorization of 84877

Prime factors of 84877 are 13, 6529. Prime factorization of 84877 in exponential form is:

84877 = 13¹ × 6529¹

Step-2: Prime Factorization of 84890

Prime factors of 84890 are 2, 5, 13, 653. Prime factorization of 84890 in exponential form is:

84890 = 2¹ × 5¹ × 13¹ × 653¹

Step-3: Factors of 84877

List of positive integer factors of 84877 that divides 84877 without a remainder.

1, 13, 6529

Step-4: Factors of 84890

List of positive integer factors of 84890 that divides 84877 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 653, 1306, 3265, 6530, 8489, 16978, 42445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84877 and 84890. The biggest common factor number is the GCF number.
So the greatest common factor 84877 and 84890 is 13.

Also check out the Least Common Multiple of 84877 and 84890