What is the Greatest Common Factor of 88172 and 88184?

Greatest common factor (GCF) of 88172 and 88184 is 4.

GCF(88172,88184) = 4

We will now calculate the prime factors of 88172 and 88184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88172 and 88184.

How to find the GCF of 88172 and 88184?

We will first find the prime factorization of 88172 and 88184. After we will calculate the factors of 88172 and 88184 and find the biggest common factor number .

Step-1: Prime Factorization of 88172

Prime factors of 88172 are 2, 7, 47, 67. Prime factorization of 88172 in exponential form is:

88172 = 2² × 7¹ × 47¹ × 67¹

Step-2: Prime Factorization of 88184

Prime factors of 88184 are 2, 73, 151. Prime factorization of 88184 in exponential form is:

88184 = 2³ × 73¹ × 151¹

Step-3: Factors of 88172

List of positive integer factors of 88172 that divides 88172 without a remainder.

1, 2, 4, 7, 14, 28, 47, 67, 94, 134, 188, 268, 329, 469, 658, 938, 1316, 1876, 3149, 6298, 12596, 22043, 44086

Step-4: Factors of 88184

List of positive integer factors of 88184 that divides 88172 without a remainder.

1, 2, 4, 8, 73, 146, 151, 292, 302, 584, 604, 1208, 11023, 22046, 44092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88172 and 88184. The biggest common factor number is the GCF number.
So the greatest common factor 88172 and 88184 is 4.

Also check out the Least Common Multiple of 88172 and 88184