What is the Greatest Common Factor of 65023 and 65037?

Greatest common factor (GCF) of 65023 and 65037 is 7.

GCF(65023,65037) = 7

We will now calculate the prime factors of 65023 and 65037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65023 and 65037.

How to find the GCF of 65023 and 65037?

We will first find the prime factorization of 65023 and 65037. After we will calculate the factors of 65023 and 65037 and find the biggest common factor number .

Step-1: Prime Factorization of 65023

Prime factors of 65023 are 7, 1327. Prime factorization of 65023 in exponential form is:

65023 = 7² × 1327¹

Step-2: 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-3: Factors of 65023

List of positive integer factors of 65023 that divides 65023 without a remainder.

1, 7, 49, 1327, 9289

Step-4: Factors of 65037

List of positive integer factors of 65037 that divides 65023 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65023 and 65037. The biggest common factor number is the GCF number.
So the greatest common factor 65023 and 65037 is 7.

Also check out the Least Common Multiple of 65023 and 65037