What is the Greatest Common Factor of 85648 and 85658?

Greatest common factor (GCF) of 85648 and 85658 is 2.

GCF(85648,85658) = 2

We will now calculate the prime factors of 85648 and 85658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85648 and 85658.

How to find the GCF of 85648 and 85658?

We will first find the prime factorization of 85648 and 85658. After we will calculate the factors of 85648 and 85658 and find the biggest common factor number .

Step-1: Prime Factorization of 85648

Prime factors of 85648 are 2, 53, 101. Prime factorization of 85648 in exponential form is:

85648 = 2⁴ × 53¹ × 101¹

Step-2: Prime Factorization of 85658

Prime factors of 85658 are 2, 42829. Prime factorization of 85658 in exponential form is:

85658 = 2¹ × 42829¹

Step-3: Factors of 85648

List of positive integer factors of 85648 that divides 85648 without a remainder.

1, 2, 4, 8, 16, 53, 101, 106, 202, 212, 404, 424, 808, 848, 1616, 5353, 10706, 21412, 42824

Step-4: Factors of 85658

List of positive integer factors of 85658 that divides 85648 without a remainder.

1, 2, 42829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85648 and 85658. The biggest common factor number is the GCF number.
So the greatest common factor 85648 and 85658 is 2.

Also check out the Least Common Multiple of 85648 and 85658