What is the Greatest Common Factor of 83488 and 83492?

Greatest common factor (GCF) of 83488 and 83492 is 4.

GCF(83488,83492) = 4

We will now calculate the prime factors of 83488 and 83492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83488 and 83492.

How to find the GCF of 83488 and 83492?

We will first find the prime factorization of 83488 and 83492. After we will calculate the factors of 83488 and 83492 and find the biggest common factor number .

Step-1: Prime Factorization of 83488

Prime factors of 83488 are 2, 2609. Prime factorization of 83488 in exponential form is:

83488 = 2⁵ × 2609¹

Step-2: Prime Factorization of 83492

Prime factors of 83492 are 2, 20873. Prime factorization of 83492 in exponential form is:

83492 = 2² × 20873¹

Step-3: Factors of 83488

List of positive integer factors of 83488 that divides 83488 without a remainder.

1, 2, 4, 8, 16, 32, 2609, 5218, 10436, 20872, 41744

Step-4: Factors of 83492

List of positive integer factors of 83492 that divides 83488 without a remainder.

1, 2, 4, 20873, 41746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83488 and 83492. The biggest common factor number is the GCF number.
So the greatest common factor 83488 and 83492 is 4.

Also check out the Least Common Multiple of 83488 and 83492