What is the Greatest Common Factor of 85618 and 85638?

Greatest common factor (GCF) of 85618 and 85638 is 2.

GCF(85618,85638) = 2

We will now calculate the prime factors of 85618 and 85638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85618 and 85638.

How to find the GCF of 85618 and 85638?

We will first find the prime factorization of 85618 and 85638. After we will calculate the factors of 85618 and 85638 and find the biggest common factor number .

Step-1: Prime Factorization of 85618

Prime factors of 85618 are 2, 13, 37, 89. Prime factorization of 85618 in exponential form is:

85618 = 2¹ × 13¹ × 37¹ × 89¹

Step-2: Prime Factorization of 85638

Prime factors of 85638 are 2, 3, 7, 2039. Prime factorization of 85638 in exponential form is:

85638 = 2¹ × 3¹ × 7¹ × 2039¹

Step-3: Factors of 85618

List of positive integer factors of 85618 that divides 85618 without a remainder.

1, 2, 13, 26, 37, 74, 89, 178, 481, 962, 1157, 2314, 3293, 6586, 42809

Step-4: Factors of 85638

List of positive integer factors of 85638 that divides 85618 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2039, 4078, 6117, 12234, 14273, 28546, 42819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85618 and 85638. The biggest common factor number is the GCF number.
So the greatest common factor 85618 and 85638 is 2.

Also check out the Least Common Multiple of 85618 and 85638