What is the Greatest Common Factor of 88005 and 88025?

Greatest common factor (GCF) of 88005 and 88025 is 5.

GCF(88005,88025) = 5

We will now calculate the prime factors of 88005 and 88025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88005 and 88025.

How to find the GCF of 88005 and 88025?

We will first find the prime factorization of 88005 and 88025. After we will calculate the factors of 88005 and 88025 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 88025

Prime factors of 88025 are 5, 7, 503. Prime factorization of 88025 in exponential form is:

88025 = 5² × 7¹ × 503¹

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 88025

List of positive integer factors of 88025 that divides 88005 without a remainder.

1, 5, 7, 25, 35, 175, 503, 2515, 3521, 12575, 17605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88005 and 88025. The biggest common factor number is the GCF number.
So the greatest common factor 88005 and 88025 is 5.

Also check out the Least Common Multiple of 88005 and 88025