What is the Greatest Common Factor of 82436 and 82454?

Greatest common factor (GCF) of 82436 and 82454 is 2.

GCF(82436,82454) = 2

We will now calculate the prime factors of 82436 and 82454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82436 and 82454.

How to find the GCF of 82436 and 82454?

We will first find the prime factorization of 82436 and 82454. After we will calculate the factors of 82436 and 82454 and find the biggest common factor number .

Step-1: Prime Factorization of 82436

Prime factors of 82436 are 2, 37, 557. Prime factorization of 82436 in exponential form is:

82436 = 2² × 37¹ × 557¹

Step-2: Prime Factorization of 82454

Prime factors of 82454 are 2, 41227. Prime factorization of 82454 in exponential form is:

82454 = 2¹ × 41227¹

Step-3: Factors of 82436

List of positive integer factors of 82436 that divides 82436 without a remainder.

1, 2, 4, 37, 74, 148, 557, 1114, 2228, 20609, 41218

Step-4: Factors of 82454

List of positive integer factors of 82454 that divides 82436 without a remainder.

1, 2, 41227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82436 and 82454. The biggest common factor number is the GCF number.
So the greatest common factor 82436 and 82454 is 2.

Also check out the Least Common Multiple of 82436 and 82454