What is the Greatest Common Factor of 65037 and 65049?

Greatest common factor (GCF) of 65037 and 65049 is 3.

GCF(65037,65049) = 3

We will now calculate the prime factors of 65037 and 65049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65037 and 65049.

How to find the GCF of 65037 and 65049?

We will first find the prime factorization of 65037 and 65049. After we will calculate the factors of 65037 and 65049 and find the biggest common factor number .

Step-1: Prime Factorization of 65037

Prime factors of 65037 are 3, 7, 19, 163. Prime factorization of 65037 in exponential form is:

65037 = 3¹ × 7¹ × 19¹ × 163¹

Step-2: Prime Factorization of 65049

Prime factors of 65049 are 3, 21683. Prime factorization of 65049 in exponential form is:

65049 = 3¹ × 21683¹

Step-3: Factors of 65037

List of positive integer factors of 65037 that divides 65037 without a remainder.

1, 3, 7, 19, 21, 57, 133, 163, 399, 489, 1141, 3097, 3423, 9291, 21679

Step-4: Factors of 65049

List of positive integer factors of 65049 that divides 65037 without a remainder.

1, 3, 21683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65037 and 65049. The biggest common factor number is the GCF number.
So the greatest common factor 65037 and 65049 is 3.

Also check out the Least Common Multiple of 65037 and 65049