What is the Greatest Common Factor of 88112 and 88116?

Greatest common factor (GCF) of 88112 and 88116 is 4.

GCF(88112,88116) = 4

We will now calculate the prime factors of 88112 and 88116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88112 and 88116.

How to find the GCF of 88112 and 88116?

We will first find the prime factorization of 88112 and 88116. After we will calculate the factors of 88112 and 88116 and find the biggest common factor number .

Step-1: Prime Factorization of 88112

Prime factors of 88112 are 2, 5507. Prime factorization of 88112 in exponential form is:

88112 = 2⁴ × 5507¹

Step-2: Prime Factorization of 88116

Prime factors of 88116 are 2, 3, 7, 1049. Prime factorization of 88116 in exponential form is:

88116 = 2² × 3¹ × 7¹ × 1049¹

Step-3: Factors of 88112

List of positive integer factors of 88112 that divides 88112 without a remainder.

1, 2, 4, 8, 16, 5507, 11014, 22028, 44056

Step-4: Factors of 88116

List of positive integer factors of 88116 that divides 88112 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1049, 2098, 3147, 4196, 6294, 7343, 12588, 14686, 22029, 29372, 44058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88112 and 88116. The biggest common factor number is the GCF number.
So the greatest common factor 88112 and 88116 is 4.

Also check out the Least Common Multiple of 88112 and 88116