What is the Greatest Common Factor of 88612 and 88616?

Greatest common factor (GCF) of 88612 and 88616 is 4.

GCF(88612,88616) = 4

We will now calculate the prime factors of 88612 and 88616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88612 and 88616.

How to find the GCF of 88612 and 88616?

We will first find the prime factorization of 88612 and 88616. After we will calculate the factors of 88612 and 88616 and find the biggest common factor number .

Step-1: Prime Factorization of 88612

Prime factors of 88612 are 2, 22153. Prime factorization of 88612 in exponential form is:

88612 = 2² × 22153¹

Step-2: Prime Factorization of 88616

Prime factors of 88616 are 2, 11, 19, 53. Prime factorization of 88616 in exponential form is:

88616 = 2³ × 11¹ × 19¹ × 53¹

Step-3: Factors of 88612

List of positive integer factors of 88612 that divides 88612 without a remainder.

1, 2, 4, 22153, 44306

Step-4: Factors of 88616

List of positive integer factors of 88616 that divides 88612 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 53, 76, 88, 106, 152, 209, 212, 418, 424, 583, 836, 1007, 1166, 1672, 2014, 2332, 4028, 4664, 8056, 11077, 22154, 44308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88612 and 88616. The biggest common factor number is the GCF number.
So the greatest common factor 88612 and 88616 is 4.

Also check out the Least Common Multiple of 88612 and 88616