What is the Greatest Common Factor of 83505 and 83524?

Greatest common factor (GCF) of 83505 and 83524 is 19.

GCF(83505,83524) = 19

We will now calculate the prime factors of 83505 and 83524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83505 and 83524.

How to find the GCF of 83505 and 83524?

We will first find the prime factorization of 83505 and 83524. After we will calculate the factors of 83505 and 83524 and find the biggest common factor number .

Step-1: Prime Factorization of 83505

Prime factors of 83505 are 3, 5, 19, 293. Prime factorization of 83505 in exponential form is:

83505 = 3¹ × 5¹ × 19¹ × 293¹

Step-2: Prime Factorization of 83524

Prime factors of 83524 are 2, 7, 19, 157. Prime factorization of 83524 in exponential form is:

83524 = 2² × 7¹ × 19¹ × 157¹

Step-3: Factors of 83505

List of positive integer factors of 83505 that divides 83505 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 293, 879, 1465, 4395, 5567, 16701, 27835

Step-4: Factors of 83524

List of positive integer factors of 83524 that divides 83505 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 157, 266, 314, 532, 628, 1099, 2198, 2983, 4396, 5966, 11932, 20881, 41762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83505 and 83524. The biggest common factor number is the GCF number.
So the greatest common factor 83505 and 83524 is 19.

Also check out the Least Common Multiple of 83505 and 83524