What is the Greatest Common Factor of 5350 and 5365?

Greatest common factor (GCF) of 5350 and 5365 is 5.

GCF(5350,5365) = 5

We will now calculate the prime factors of 5350 and 5365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5350 and 5365.

How to find the GCF of 5350 and 5365?

We will first find the prime factorization of 5350 and 5365. After we will calculate the factors of 5350 and 5365 and find the biggest common factor number .

Step-1: Prime Factorization of 5350

Prime factors of 5350 are 2, 5, 107. Prime factorization of 5350 in exponential form is:

5350 = 2¹ × 5² × 107¹

Step-2: Prime Factorization of 5365

Prime factors of 5365 are 5, 29, 37. Prime factorization of 5365 in exponential form is:

5365 = 5¹ × 29¹ × 37¹

Step-3: Factors of 5350

List of positive integer factors of 5350 that divides 5350 without a remainder.

1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675

Step-4: Factors of 5365

List of positive integer factors of 5365 that divides 5350 without a remainder.

1, 5, 29, 37, 145, 185, 1073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5350 and 5365. The biggest common factor number is the GCF number.
So the greatest common factor 5350 and 5365 is 5.

Also check out the Least Common Multiple of 5350 and 5365