What is the Greatest Common Factor of 88146 and 88152?

Greatest common factor (GCF) of 88146 and 88152 is 6.

GCF(88146,88152) = 6

We will now calculate the prime factors of 88146 and 88152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88146 and 88152.

How to find the GCF of 88146 and 88152?

We will first find the prime factorization of 88146 and 88152. After we will calculate the factors of 88146 and 88152 and find the biggest common factor number .

Step-1: Prime Factorization of 88146

Prime factors of 88146 are 2, 3, 59, 83. Prime factorization of 88146 in exponential form is:

88146 = 2¹ × 3² × 59¹ × 83¹

Step-2: Prime Factorization of 88152

Prime factors of 88152 are 2, 3, 3673. Prime factorization of 88152 in exponential form is:

88152 = 2³ × 3¹ × 3673¹

Step-3: Factors of 88146

List of positive integer factors of 88146 that divides 88146 without a remainder.

1, 2, 3, 6, 9, 18, 59, 83, 118, 166, 177, 249, 354, 498, 531, 747, 1062, 1494, 4897, 9794, 14691, 29382, 44073

Step-4: Factors of 88152

List of positive integer factors of 88152 that divides 88146 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3673, 7346, 11019, 14692, 22038, 29384, 44076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88146 and 88152. The biggest common factor number is the GCF number.
So the greatest common factor 88146 and 88152 is 6.

Also check out the Least Common Multiple of 88146 and 88152