What is the Greatest Common Factor of 83518 and 83528?

Greatest common factor (GCF) of 83518 and 83528 is 2.

GCF(83518,83528) = 2

We will now calculate the prime factors of 83518 and 83528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83518 and 83528.

How to find the GCF of 83518 and 83528?

We will first find the prime factorization of 83518 and 83528. After we will calculate the factors of 83518 and 83528 and find the biggest common factor number .

Step-1: Prime Factorization of 83518

Prime factors of 83518 are 2, 41759. Prime factorization of 83518 in exponential form is:

83518 = 2¹ × 41759¹

Step-2: Prime Factorization of 83528

Prime factors of 83528 are 2, 53, 197. Prime factorization of 83528 in exponential form is:

83528 = 2³ × 53¹ × 197¹

Step-3: Factors of 83518

List of positive integer factors of 83518 that divides 83518 without a remainder.

1, 2, 41759

Step-4: Factors of 83528

List of positive integer factors of 83528 that divides 83518 without a remainder.

1, 2, 4, 8, 53, 106, 197, 212, 394, 424, 788, 1576, 10441, 20882, 41764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83518 and 83528. The biggest common factor number is the GCF number.
So the greatest common factor 83518 and 83528 is 2.

Also check out the Least Common Multiple of 83518 and 83528