What is the Greatest Common Factor of 85618 and 85626?

Greatest common factor (GCF) of 85618 and 85626 is 2.

GCF(85618,85626) = 2

We will now calculate the prime factors of 85618 and 85626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85618 and 85626.

How to find the GCF of 85618 and 85626?

We will first find the prime factorization of 85618 and 85626. After we will calculate the factors of 85618 and 85626 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 85626

Prime factors of 85626 are 2, 3, 67, 71. Prime factorization of 85626 in exponential form is:

85626 = 2¹ × 3² × 67¹ × 71¹

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 85626

List of positive integer factors of 85626 that divides 85618 without a remainder.

1, 2, 3, 6, 9, 18, 67, 71, 134, 142, 201, 213, 402, 426, 603, 639, 1206, 1278, 4757, 9514, 14271, 28542, 42813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85618 and 85626. The biggest common factor number is the GCF number.
So the greatest common factor 85618 and 85626 is 2.

Also check out the Least Common Multiple of 85618 and 85626