What is the Greatest Common Factor of 88641 and 88655?

Greatest common factor (GCF) of 88641 and 88655 is 7.

GCF(88641,88655) = 7

We will now calculate the prime factors of 88641 and 88655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88641 and 88655.

How to find the GCF of 88641 and 88655?

We will first find the prime factorization of 88641 and 88655. After we will calculate the factors of 88641 and 88655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88655

Prime factors of 88655 are 5, 7, 17, 149. Prime factorization of 88655 in exponential form is:

88655 = 5¹ × 7¹ × 17¹ × 149¹

Step-3: Factors of 88641

List of positive integer factors of 88641 that divides 88641 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

Step-4: Factors of 88655

List of positive integer factors of 88655 that divides 88641 without a remainder.

1, 5, 7, 17, 35, 85, 119, 149, 595, 745, 1043, 2533, 5215, 12665, 17731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88641 and 88655. The biggest common factor number is the GCF number.
So the greatest common factor 88641 and 88655 is 7.

Also check out the Least Common Multiple of 88641 and 88655