What is the Greatest Common Factor of 88032 and 88052?

Greatest common factor (GCF) of 88032 and 88052 is 4.

GCF(88032,88052) = 4

We will now calculate the prime factors of 88032 and 88052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88032 and 88052.

How to find the GCF of 88032 and 88052?

We will first find the prime factorization of 88032 and 88052. After we will calculate the factors of 88032 and 88052 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 88052

Prime factors of 88052 are 2, 22013. Prime factorization of 88052 in exponential form is:

88052 = 2² × 22013¹

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 88052

List of positive integer factors of 88052 that divides 88032 without a remainder.

1, 2, 4, 22013, 44026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88032 and 88052. The biggest common factor number is the GCF number.
So the greatest common factor 88032 and 88052 is 4.

Also check out the Least Common Multiple of 88032 and 88052