What is the Greatest Common Factor of 53025 and 53037?

Greatest common factor (GCF) of 53025 and 53037 is 3.

GCF(53025,53037) = 3

We will now calculate the prime factors of 53025 and 53037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53025 and 53037.

How to find the GCF of 53025 and 53037?

We will first find the prime factorization of 53025 and 53037. After we will calculate the factors of 53025 and 53037 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 53037

Prime factors of 53037 are 3, 71, 83. Prime factorization of 53037 in exponential form is:

53037 = 3² × 71¹ × 83¹

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 53037

List of positive integer factors of 53037 that divides 53025 without a remainder.

1, 3, 9, 71, 83, 213, 249, 639, 747, 5893, 17679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53025 and 53037. The biggest common factor number is the GCF number.
So the greatest common factor 53025 and 53037 is 3.

Also check out the Least Common Multiple of 53025 and 53037