What is the Greatest Common Factor of 55340 and 55350?

Greatest common factor (GCF) of 55340 and 55350 is 10.

GCF(55340,55350) = 10

We will now calculate the prime factors of 55340 and 55350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55340 and 55350.

How to find the GCF of 55340 and 55350?

We will first find the prime factorization of 55340 and 55350. After we will calculate the factors of 55340 and 55350 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55350

Prime factors of 55350 are 2, 3, 5, 41. Prime factorization of 55350 in exponential form is:

55350 = 2¹ × 3³ × 5² × 41¹

Step-3: Factors of 55340

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

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

Step-4: Factors of 55350

List of positive integer factors of 55350 that divides 55340 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 41, 45, 50, 54, 75, 82, 90, 123, 135, 150, 205, 225, 246, 270, 369, 410, 450, 615, 675, 738, 1025, 1107, 1230, 1350, 1845, 2050, 2214, 3075, 3690, 5535, 6150, 9225, 11070, 18450, 27675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55340 and 55350. The biggest common factor number is the GCF number.
So the greatest common factor 55340 and 55350 is 10.

Also check out the Least Common Multiple of 55340 and 55350