What is the Greatest Common Factor of 83525 and 83545?

Greatest common factor (GCF) of 83525 and 83545 is 5.

GCF(83525,83545) = 5

We will now calculate the prime factors of 83525 and 83545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83525 and 83545.

How to find the GCF of 83525 and 83545?

We will first find the prime factorization of 83525 and 83545. After we will calculate the factors of 83525 and 83545 and find the biggest common factor number .

Step-1: Prime Factorization of 83525

Prime factors of 83525 are 5, 13, 257. Prime factorization of 83525 in exponential form is:

83525 = 5² × 13¹ × 257¹

Step-2: Prime Factorization of 83545

Prime factors of 83545 are 5, 7, 11, 31. Prime factorization of 83545 in exponential form is:

83545 = 5¹ × 7² × 11¹ × 31¹

Step-3: Factors of 83525

List of positive integer factors of 83525 that divides 83525 without a remainder.

1, 5, 13, 25, 65, 257, 325, 1285, 3341, 6425, 16705

Step-4: Factors of 83545

List of positive integer factors of 83545 that divides 83525 without a remainder.

1, 5, 7, 11, 31, 35, 49, 55, 77, 155, 217, 245, 341, 385, 539, 1085, 1519, 1705, 2387, 2695, 7595, 11935, 16709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83525 and 83545. The biggest common factor number is the GCF number.
So the greatest common factor 83525 and 83545 is 5.

Also check out the Least Common Multiple of 83525 and 83545