What is the Greatest Common Factor of 88076 and 88084?

Greatest common factor (GCF) of 88076 and 88084 is 4.

GCF(88076,88084) = 4

We will now calculate the prime factors of 88076 and 88084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88076 and 88084.

How to find the GCF of 88076 and 88084?

We will first find the prime factorization of 88076 and 88084. After we will calculate the factors of 88076 and 88084 and find the biggest common factor number .

Step-1: Prime Factorization of 88076

Prime factors of 88076 are 2, 97, 227. Prime factorization of 88076 in exponential form is:

88076 = 2² × 97¹ × 227¹

Step-2: Prime Factorization of 88084

Prime factors of 88084 are 2, 19, 61. Prime factorization of 88084 in exponential form is:

88084 = 2² × 19² × 61¹

Step-3: Factors of 88076

List of positive integer factors of 88076 that divides 88076 without a remainder.

1, 2, 4, 97, 194, 227, 388, 454, 908, 22019, 44038

Step-4: Factors of 88084

List of positive integer factors of 88084 that divides 88076 without a remainder.

1, 2, 4, 19, 38, 61, 76, 122, 244, 361, 722, 1159, 1444, 2318, 4636, 22021, 44042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88076 and 88084. The biggest common factor number is the GCF number.
So the greatest common factor 88076 and 88084 is 4.

Also check out the Least Common Multiple of 88076 and 88084