What is the Greatest Common Factor of 84476 and 84484?

Greatest common factor (GCF) of 84476 and 84484 is 4.

GCF(84476,84484) = 4

We will now calculate the prime factors of 84476 and 84484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84476 and 84484.

How to find the GCF of 84476 and 84484?

We will first find the prime factorization of 84476 and 84484. After we will calculate the factors of 84476 and 84484 and find the biggest common factor number .

Step-1: Prime Factorization of 84476

Prime factors of 84476 are 2, 7, 431. Prime factorization of 84476 in exponential form is:

84476 = 2² × 7² × 431¹

Step-2: Prime Factorization of 84484

Prime factors of 84484 are 2, 21121. Prime factorization of 84484 in exponential form is:

84484 = 2² × 21121¹

Step-3: Factors of 84476

List of positive integer factors of 84476 that divides 84476 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 431, 862, 1724, 3017, 6034, 12068, 21119, 42238

Step-4: Factors of 84484

List of positive integer factors of 84484 that divides 84476 without a remainder.

1, 2, 4, 21121, 42242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84476 and 84484. The biggest common factor number is the GCF number.
So the greatest common factor 84476 and 84484 is 4.

Also check out the Least Common Multiple of 84476 and 84484