What is the Greatest Common Factor of 88022 and 88032?

Greatest common factor (GCF) of 88022 and 88032 is 2.

GCF(88022,88032) = 2

We will now calculate the prime factors of 88022 and 88032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88022 and 88032.

How to find the GCF of 88022 and 88032?

We will first find the prime factorization of 88022 and 88032. After we will calculate the factors of 88022 and 88032 and find the biggest common factor number .

Step-1: Prime Factorization of 88022

Prime factors of 88022 are 2, 11, 4001. Prime factorization of 88022 in exponential form is:

88022 = 2¹ × 11¹ × 4001¹

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 88022

List of positive integer factors of 88022 that divides 88022 without a remainder.

1, 2, 11, 22, 4001, 8002, 44011

Step-4: Factors of 88032

List of positive integer factors of 88032 that divides 88022 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 88022 and 88032. The biggest common factor number is the GCF number.
So the greatest common factor 88022 and 88032 is 2.

Also check out the Least Common Multiple of 88022 and 88032