What is the Greatest Common Factor of 88020 and 88032?

Greatest common factor (GCF) of 88020 and 88032 is 12.

GCF(88020,88032) = 12

We will now calculate the prime factors of 88020 and 88032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88020 and 88032.

How to find the GCF of 88020 and 88032?

We will first find the prime factorization of 88020 and 88032. After we will calculate the factors of 88020 and 88032 and find the biggest common factor number .

Step-1: Prime Factorization of 88020

Prime factors of 88020 are 2, 3, 5, 163. Prime factorization of 88020 in exponential form is:

88020 = 2² × 3³ × 5¹ × 163¹

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 88020

List of positive integer factors of 88020 that divides 88020 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 163, 180, 270, 326, 489, 540, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4401, 4890, 5868, 7335, 8802, 9780, 14670, 17604, 22005, 29340, 44010

Step-4: Factors of 88032

List of positive integer factors of 88032 that divides 88020 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 88020 and 88032. The biggest common factor number is the GCF number.
So the greatest common factor 88020 and 88032 is 12.

Also check out the Least Common Multiple of 88020 and 88032