What is the Greatest Common Factor of 88025 and 88029?

Greatest common factor (GCF) of 88025 and 88029 is 1.

GCF(88025,88029) = 1

We will now calculate the prime factors of 88025 and 88029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88025 and 88029.

How to find the GCF of 88025 and 88029?

We will first find the prime factorization of 88025 and 88029. After we will calculate the factors of 88025 and 88029 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88029

Prime factors of 88029 are 3, 9781. Prime factorization of 88029 in exponential form is:

88029 = 3² × 9781¹

Step-3: Factors of 88025

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

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

Step-4: Factors of 88029

List of positive integer factors of 88029 that divides 88025 without a remainder.

1, 3, 9, 9781, 29343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88025 and 88029. The biggest common factor number is the GCF number.
So the greatest common factor 88025 and 88029 is 1.

Also check out the Least Common Multiple of 88025 and 88029