What is the Greatest Common Factor of 53025 and 53034?

Greatest common factor (GCF) of 53025 and 53034 is 3.

GCF(53025,53034) = 3

We will now calculate the prime factors of 53025 and 53034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53025 and 53034.

How to find the GCF of 53025 and 53034?

We will first find the prime factorization of 53025 and 53034. After we will calculate the factors of 53025 and 53034 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53034

Prime factors of 53034 are 2, 3, 8839. Prime factorization of 53034 in exponential form is:

53034 = 2¹ × 3¹ × 8839¹

Step-3: Factors of 53025

List of positive integer factors of 53025 that divides 53025 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

Step-4: Factors of 53034

List of positive integer factors of 53034 that divides 53025 without a remainder.

1, 2, 3, 6, 8839, 17678, 26517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53025 and 53034. The biggest common factor number is the GCF number.
So the greatest common factor 53025 and 53034 is 3.

Also check out the Least Common Multiple of 53025 and 53034