What is the Greatest Common Factor of 88038 and 88053?

Greatest common factor (GCF) of 88038 and 88053 is 3.

GCF(88038,88053) = 3

We will now calculate the prime factors of 88038 and 88053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88038 and 88053.

How to find the GCF of 88038 and 88053?

We will first find the prime factorization of 88038 and 88053. After we will calculate the factors of 88038 and 88053 and find the biggest common factor number .

Step-1: Prime Factorization of 88038

Prime factors of 88038 are 2, 3, 67, 73. Prime factorization of 88038 in exponential form is:

88038 = 2¹ × 3² × 67¹ × 73¹

Step-2: Prime Factorization of 88053

Prime factors of 88053 are 3, 7, 599. Prime factorization of 88053 in exponential form is:

88053 = 3¹ × 7² × 599¹

Step-3: Factors of 88038

List of positive integer factors of 88038 that divides 88038 without a remainder.

1, 2, 3, 6, 9, 18, 67, 73, 134, 146, 201, 219, 402, 438, 603, 657, 1206, 1314, 4891, 9782, 14673, 29346, 44019

Step-4: Factors of 88053

List of positive integer factors of 88053 that divides 88038 without a remainder.

1, 3, 7, 21, 49, 147, 599, 1797, 4193, 12579, 29351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88038 and 88053. The biggest common factor number is the GCF number.
So the greatest common factor 88038 and 88053 is 3.

Also check out the Least Common Multiple of 88038 and 88053