What is the Greatest Common Factor of 85642 and 85649?

Greatest common factor (GCF) of 85642 and 85649 is 1.

GCF(85642,85649) = 1

We will now calculate the prime factors of 85642 and 85649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85642 and 85649.

How to find the GCF of 85642 and 85649?

We will first find the prime factorization of 85642 and 85649. After we will calculate the factors of 85642 and 85649 and find the biggest common factor number .

Step-1: Prime Factorization of 85642

Prime factors of 85642 are 2, 42821. Prime factorization of 85642 in exponential form is:

85642 = 2¹ × 42821¹

Step-2: Prime Factorization of 85649

Prime factors of 85649 are 41, 2089. Prime factorization of 85649 in exponential form is:

85649 = 41¹ × 2089¹

Step-3: Factors of 85642

List of positive integer factors of 85642 that divides 85642 without a remainder.

1, 2, 42821

Step-4: Factors of 85649

List of positive integer factors of 85649 that divides 85642 without a remainder.

1, 41, 2089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85642 and 85649. The biggest common factor number is the GCF number.
So the greatest common factor 85642 and 85649 is 1.

Also check out the Least Common Multiple of 85642 and 85649