What is the Greatest Common Factor of 88005 and 88021?

Greatest common factor (GCF) of 88005 and 88021 is 1.

GCF(88005,88021) = 1

We will now calculate the prime factors of 88005 and 88021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88005 and 88021.

How to find the GCF of 88005 and 88021?

We will first find the prime factorization of 88005 and 88021. After we will calculate the factors of 88005 and 88021 and find the biggest common factor number .

Step-1: Prime Factorization of 88005

Prime factors of 88005 are 3, 5, 5867. Prime factorization of 88005 in exponential form is:

88005 = 3¹ × 5¹ × 5867¹

Step-2: Prime Factorization of 88021

Prime factors of 88021 are 23, 43, 89. Prime factorization of 88021 in exponential form is:

88021 = 23¹ × 43¹ × 89¹

Step-3: Factors of 88005

List of positive integer factors of 88005 that divides 88005 without a remainder.

1, 3, 5, 15, 5867, 17601, 29335

Step-4: Factors of 88021

List of positive integer factors of 88021 that divides 88005 without a remainder.

1, 23, 43, 89, 989, 2047, 3827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88005 and 88021. The biggest common factor number is the GCF number.
So the greatest common factor 88005 and 88021 is 1.

Also check out the Least Common Multiple of 88005 and 88021