What is the Greatest Common Factor of 88014 and 88032?

Greatest common factor (GCF) of 88014 and 88032 is 6.

GCF(88014,88032) = 6

We will now calculate the prime factors of 88014 and 88032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88014 and 88032.

How to find the GCF of 88014 and 88032?

We will first find the prime factorization of 88014 and 88032. After we will calculate the factors of 88014 and 88032 and find the biggest common factor number .

Step-1: Prime Factorization of 88014

Prime factors of 88014 are 2, 3, 14669. Prime factorization of 88014 in exponential form is:

88014 = 2¹ × 3¹ × 14669¹

Step-2: 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-3: Factors of 88014

List of positive integer factors of 88014 that divides 88014 without a remainder.

1, 2, 3, 6, 14669, 29338, 44007

Step-4: Factors of 88032

List of positive integer factors of 88032 that divides 88014 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88014 and 88032. The biggest common factor number is the GCF number.
So the greatest common factor 88014 and 88032 is 6.

Also check out the Least Common Multiple of 88014 and 88032