What is the Greatest Common Factor of 53123 and 53132?

Greatest common factor (GCF) of 53123 and 53132 is 1.

GCF(53123,53132) = 1

We will now calculate the prime factors of 53123 and 53132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53123 and 53132.

How to find the GCF of 53123 and 53132?

We will first find the prime factorization of 53123 and 53132. After we will calculate the factors of 53123 and 53132 and find the biggest common factor number .

Step-1: Prime Factorization of 53123

Prime factors of 53123 are 7, 7589. Prime factorization of 53123 in exponential form is:

53123 = 7¹ × 7589¹

Step-2: Prime Factorization of 53132

Prime factors of 53132 are 2, 37, 359. Prime factorization of 53132 in exponential form is:

53132 = 2² × 37¹ × 359¹

Step-3: Factors of 53123

List of positive integer factors of 53123 that divides 53123 without a remainder.

1, 7, 7589

Step-4: Factors of 53132

List of positive integer factors of 53132 that divides 53123 without a remainder.

1, 2, 4, 37, 74, 148, 359, 718, 1436, 13283, 26566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53123 and 53132. The biggest common factor number is the GCF number.
So the greatest common factor 53123 and 53132 is 1.

Also check out the Least Common Multiple of 53123 and 53132