What is the Greatest Common Factor of 27350 and 27362?

Greatest common factor (GCF) of 27350 and 27362 is 2.

GCF(27350,27362) = 2

We will now calculate the prime factors of 27350 and 27362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27350 and 27362.

How to find the GCF of 27350 and 27362?

We will first find the prime factorization of 27350 and 27362. After we will calculate the factors of 27350 and 27362 and find the biggest common factor number .

Step-1: Prime Factorization of 27350

Prime factors of 27350 are 2, 5, 547. Prime factorization of 27350 in exponential form is:

27350 = 2¹ × 5² × 547¹

Step-2: Prime Factorization of 27362

Prime factors of 27362 are 2, 13681. Prime factorization of 27362 in exponential form is:

27362 = 2¹ × 13681¹

Step-3: Factors of 27350

List of positive integer factors of 27350 that divides 27350 without a remainder.

1, 2, 5, 10, 25, 50, 547, 1094, 2735, 5470, 13675

Step-4: Factors of 27362

List of positive integer factors of 27362 that divides 27350 without a remainder.

1, 2, 13681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27350 and 27362. The biggest common factor number is the GCF number.
So the greatest common factor 27350 and 27362 is 2.

Also check out the Least Common Multiple of 27350 and 27362