What is the Greatest Common Factor of 85425 and 85435?

Greatest common factor (GCF) of 85425 and 85435 is 5.

GCF(85425,85435) = 5

We will now calculate the prime factors of 85425 and 85435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85425 and 85435.

How to find the GCF of 85425 and 85435?

We will first find the prime factorization of 85425 and 85435. After we will calculate the factors of 85425 and 85435 and find the biggest common factor number .

Step-1: Prime Factorization of 85425

Prime factors of 85425 are 3, 5, 17, 67. Prime factorization of 85425 in exponential form is:

85425 = 3¹ × 5² × 17¹ × 67¹

Step-2: Prime Factorization of 85435

Prime factors of 85435 are 5, 7, 2441. Prime factorization of 85435 in exponential form is:

85435 = 5¹ × 7¹ × 2441¹

Step-3: Factors of 85425

List of positive integer factors of 85425 that divides 85425 without a remainder.

1, 3, 5, 15, 17, 25, 51, 67, 75, 85, 201, 255, 335, 425, 1005, 1139, 1275, 1675, 3417, 5025, 5695, 17085, 28475

Step-4: Factors of 85435

List of positive integer factors of 85435 that divides 85425 without a remainder.

1, 5, 7, 35, 2441, 12205, 17087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85425 and 85435. The biggest common factor number is the GCF number.
So the greatest common factor 85425 and 85435 is 5.

Also check out the Least Common Multiple of 85425 and 85435