What is the Greatest Common Factor of 88626 and 88641?

Greatest common factor (GCF) of 88626 and 88641 is 3.

GCF(88626,88641) = 3

We will now calculate the prime factors of 88626 and 88641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88626 and 88641.

How to find the GCF of 88626 and 88641?

We will first find the prime factorization of 88626 and 88641. After we will calculate the factors of 88626 and 88641 and find the biggest common factor number .

Step-1: Prime Factorization of 88626

Prime factors of 88626 are 2, 3, 14771. Prime factorization of 88626 in exponential form is:

88626 = 2¹ × 3¹ × 14771¹

Step-2: Prime Factorization of 88641

Prime factors of 88641 are 3, 7, 67. Prime factorization of 88641 in exponential form is:

88641 = 3³ × 7² × 67¹

Step-3: Factors of 88626

List of positive integer factors of 88626 that divides 88626 without a remainder.

1, 2, 3, 6, 14771, 29542, 44313

Step-4: Factors of 88641

List of positive integer factors of 88641 that divides 88626 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 67, 147, 189, 201, 441, 469, 603, 1323, 1407, 1809, 3283, 4221, 9849, 12663, 29547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88626 and 88641. The biggest common factor number is the GCF number.
So the greatest common factor 88626 and 88641 is 3.

Also check out the Least Common Multiple of 88626 and 88641