What is the Greatest Common Factor of 85725 and 85745?

Greatest common factor (GCF) of 85725 and 85745 is 5.

GCF(85725,85745) = 5

We will now calculate the prime factors of 85725 and 85745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85725 and 85745.

How to find the GCF of 85725 and 85745?

We will first find the prime factorization of 85725 and 85745. After we will calculate the factors of 85725 and 85745 and find the biggest common factor number .

Step-1: Prime Factorization of 85725

Prime factors of 85725 are 3, 5, 127. Prime factorization of 85725 in exponential form is:

85725 = 3³ × 5² × 127¹

Step-2: Prime Factorization of 85745

Prime factors of 85745 are 5, 11, 1559. Prime factorization of 85745 in exponential form is:

85745 = 5¹ × 11¹ × 1559¹

Step-3: Factors of 85725

List of positive integer factors of 85725 that divides 85725 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 127, 135, 225, 381, 635, 675, 1143, 1905, 3175, 3429, 5715, 9525, 17145, 28575

Step-4: Factors of 85745

List of positive integer factors of 85745 that divides 85725 without a remainder.

1, 5, 11, 55, 1559, 7795, 17149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85725 and 85745. The biggest common factor number is the GCF number.
So the greatest common factor 85725 and 85745 is 5.

Also check out the Least Common Multiple of 85725 and 85745