What is the Greatest Common Factor of 53005 and 53025?

Greatest common factor (GCF) of 53005 and 53025 is 5.

GCF(53005,53025) = 5

We will now calculate the prime factors of 53005 and 53025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53005 and 53025.

How to find the GCF of 53005 and 53025?

We will first find the prime factorization of 53005 and 53025. After we will calculate the factors of 53005 and 53025 and find the biggest common factor number .

Step-1: Prime Factorization of 53005

Prime factors of 53005 are 5, 10601. Prime factorization of 53005 in exponential form is:

53005 = 5¹ × 10601¹

Step-2: Prime Factorization of 53025

Prime factors of 53025 are 3, 5, 7, 101. Prime factorization of 53025 in exponential form is:

53025 = 3¹ × 5² × 7¹ × 101¹

Step-3: Factors of 53005

List of positive integer factors of 53005 that divides 53005 without a remainder.

1, 5, 10601

Step-4: Factors of 53025

List of positive integer factors of 53025 that divides 53005 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 101, 105, 175, 303, 505, 525, 707, 1515, 2121, 2525, 3535, 7575, 10605, 17675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53005 and 53025. The biggest common factor number is the GCF number.
So the greatest common factor 53005 and 53025 is 5.

Also check out the Least Common Multiple of 53005 and 53025