What is the Greatest Common Factor of 84892 and 84904?

Greatest common factor (GCF) of 84892 and 84904 is 4.

GCF(84892,84904) = 4

We will now calculate the prime factors of 84892 and 84904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84892 and 84904.

How to find the GCF of 84892 and 84904?

We will first find the prime factorization of 84892 and 84904. After we will calculate the factors of 84892 and 84904 and find the biggest common factor number .

Step-1: Prime Factorization of 84892

Prime factors of 84892 are 2, 19, 1117. Prime factorization of 84892 in exponential form is:

84892 = 2² × 19¹ × 1117¹

Step-2: Prime Factorization of 84904

Prime factors of 84904 are 2, 10613. Prime factorization of 84904 in exponential form is:

84904 = 2³ × 10613¹

Step-3: Factors of 84892

List of positive integer factors of 84892 that divides 84892 without a remainder.

1, 2, 4, 19, 38, 76, 1117, 2234, 4468, 21223, 42446

Step-4: Factors of 84904

List of positive integer factors of 84904 that divides 84892 without a remainder.

1, 2, 4, 8, 10613, 21226, 42452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84892 and 84904. The biggest common factor number is the GCF number.
So the greatest common factor 84892 and 84904 is 4.

Also check out the Least Common Multiple of 84892 and 84904