What is the Greatest Common Factor of 84890 and 84905?

Greatest common factor (GCF) of 84890 and 84905 is 5.

GCF(84890,84905) = 5

We will now calculate the prime factors of 84890 and 84905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84890 and 84905.

How to find the GCF of 84890 and 84905?

We will first find the prime factorization of 84890 and 84905. After we will calculate the factors of 84890 and 84905 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84905

Prime factors of 84905 are 5, 16981. Prime factorization of 84905 in exponential form is:

84905 = 5¹ × 16981¹

Step-3: Factors of 84890

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

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

Step-4: Factors of 84905

List of positive integer factors of 84905 that divides 84890 without a remainder.

1, 5, 16981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84890 and 84905. The biggest common factor number is the GCF number.
So the greatest common factor 84890 and 84905 is 5.

Also check out the Least Common Multiple of 84890 and 84905