What is the Greatest Common Factor of 51569 and 51583?

Greatest common factor (GCF) of 51569 and 51583 is 7.

GCF(51569,51583) = 7

We will now calculate the prime factors of 51569 and 51583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51569 and 51583.

How to find the GCF of 51569 and 51583?

We will first find the prime factorization of 51569 and 51583. After we will calculate the factors of 51569 and 51583 and find the biggest common factor number .

Step-1: Prime Factorization of 51569

Prime factors of 51569 are 7, 53, 139. Prime factorization of 51569 in exponential form is:

51569 = 7¹ × 53¹ × 139¹

Step-2: Prime Factorization of 51583

Prime factors of 51583 are 7, 7369. Prime factorization of 51583 in exponential form is:

51583 = 7¹ × 7369¹

Step-3: Factors of 51569

List of positive integer factors of 51569 that divides 51569 without a remainder.

1, 7, 53, 139, 371, 973, 7367

Step-4: Factors of 51583

List of positive integer factors of 51583 that divides 51569 without a remainder.

1, 7, 7369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51569 and 51583. The biggest common factor number is the GCF number.
So the greatest common factor 51569 and 51583 is 7.

Also check out the Least Common Multiple of 51569 and 51583