What is the Greatest Common Factor of 85414 and 85425?

Greatest common factor (GCF) of 85414 and 85425 is 1.

GCF(85414,85425) = 1

We will now calculate the prime factors of 85414 and 85425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85414 and 85425.

How to find the GCF of 85414 and 85425?

We will first find the prime factorization of 85414 and 85425. After we will calculate the factors of 85414 and 85425 and find the biggest common factor number .

Step-1: Prime Factorization of 85414

Prime factors of 85414 are 2, 7, 6101. Prime factorization of 85414 in exponential form is:

85414 = 2¹ × 7¹ × 6101¹

Step-2: 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-3: Factors of 85414

List of positive integer factors of 85414 that divides 85414 without a remainder.

1, 2, 7, 14, 6101, 12202, 42707

Step-4: Factors of 85425

List of positive integer factors of 85425 that divides 85414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85414 and 85425. The biggest common factor number is the GCF number.
So the greatest common factor 85414 and 85425 is 1.

Also check out the Least Common Multiple of 85414 and 85425