What is the Greatest Common Factor of 88032 and 88046?

Greatest common factor (GCF) of 88032 and 88046 is 14.

GCF(88032,88046) = 14

We will now calculate the prime factors of 88032 and 88046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88032 and 88046.

How to find the GCF of 88032 and 88046?

We will first find the prime factorization of 88032 and 88046. After we will calculate the factors of 88032 and 88046 and find the biggest common factor number .

Step-1: Prime Factorization of 88032

Prime factors of 88032 are 2, 3, 7, 131. Prime factorization of 88032 in exponential form is:

88032 = 2⁵ × 3¹ × 7¹ × 131¹

Step-2: Prime Factorization of 88046

Prime factors of 88046 are 2, 7, 19, 331. Prime factorization of 88046 in exponential form is:

88046 = 2¹ × 7¹ × 19¹ × 331¹

Step-3: Factors of 88032

List of positive integer factors of 88032 that divides 88032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 131, 168, 224, 262, 336, 393, 524, 672, 786, 917, 1048, 1572, 1834, 2096, 2751, 3144, 3668, 4192, 5502, 6288, 7336, 11004, 12576, 14672, 22008, 29344, 44016

Step-4: Factors of 88046

List of positive integer factors of 88046 that divides 88032 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 331, 662, 2317, 4634, 6289, 12578, 44023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88032 and 88046. The biggest common factor number is the GCF number.
So the greatest common factor 88032 and 88046 is 14.

Also check out the Least Common Multiple of 88032 and 88046