What is the Greatest Common Factor of 85425 and 85442?

Greatest common factor (GCF) of 85425 and 85442 is 17.

GCF(85425,85442) = 17

We will now calculate the prime factors of 85425 and 85442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85425 and 85442.

How to find the GCF of 85425 and 85442?

We will first find the prime factorization of 85425 and 85442. After we will calculate the factors of 85425 and 85442 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 85442

Prime factors of 85442 are 2, 7, 17, 359. Prime factorization of 85442 in exponential form is:

85442 = 2¹ × 7¹ × 17¹ × 359¹

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 85442

List of positive integer factors of 85442 that divides 85425 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 359, 718, 2513, 5026, 6103, 12206, 42721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85425 and 85442. The biggest common factor number is the GCF number.
So the greatest common factor 85425 and 85442 is 17.

Also check out the Least Common Multiple of 85425 and 85442