What is the Greatest Common Factor of 55325 and 55340?

Greatest common factor (GCF) of 55325 and 55340 is 5.

GCF(55325,55340) = 5

We will now calculate the prime factors of 55325 and 55340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55325 and 55340.

How to find the GCF of 55325 and 55340?

We will first find the prime factorization of 55325 and 55340. After we will calculate the factors of 55325 and 55340 and find the biggest common factor number .

Step-1: Prime Factorization of 55325

Prime factors of 55325 are 5, 2213. Prime factorization of 55325 in exponential form is:

55325 = 5² × 2213¹

Step-2: Prime Factorization of 55340

Prime factors of 55340 are 2, 5, 2767. Prime factorization of 55340 in exponential form is:

55340 = 2² × 5¹ × 2767¹

Step-3: Factors of 55325

List of positive integer factors of 55325 that divides 55325 without a remainder.

1, 5, 25, 2213, 11065

Step-4: Factors of 55340

List of positive integer factors of 55340 that divides 55325 without a remainder.

1, 2, 4, 5, 10, 20, 2767, 5534, 11068, 13835, 27670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55325 and 55340. The biggest common factor number is the GCF number.
So the greatest common factor 55325 and 55340 is 5.

Also check out the Least Common Multiple of 55325 and 55340