What is the Greatest Common Factor of 53023 and 53038?

Greatest common factor (GCF) of 53023 and 53038 is 1.

GCF(53023,53038) = 1

We will now calculate the prime factors of 53023 and 53038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53023 and 53038.

How to find the GCF of 53023 and 53038?

We will first find the prime factorization of 53023 and 53038. After we will calculate the factors of 53023 and 53038 and find the biggest common factor number .

Step-1: Prime Factorization of 53023

Prime factors of 53023 are 17, 3119. Prime factorization of 53023 in exponential form is:

53023 = 17¹ × 3119¹

Step-2: Prime Factorization of 53038

Prime factors of 53038 are 2, 23, 1153. Prime factorization of 53038 in exponential form is:

53038 = 2¹ × 23¹ × 1153¹

Step-3: Factors of 53023

List of positive integer factors of 53023 that divides 53023 without a remainder.

1, 17, 3119

Step-4: Factors of 53038

List of positive integer factors of 53038 that divides 53023 without a remainder.

1, 2, 23, 46, 1153, 2306, 26519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53023 and 53038. The biggest common factor number is the GCF number.
So the greatest common factor 53023 and 53038 is 1.

Also check out the Least Common Multiple of 53023 and 53038