What is the Greatest Common Factor of 55340 and 55360?

Greatest common factor (GCF) of 55340 and 55360 is 20.

GCF(55340,55360) = 20

We will now calculate the prime factors of 55340 and 55360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55340 and 55360.

How to find the GCF of 55340 and 55360?

We will first find the prime factorization of 55340 and 55360. After we will calculate the factors of 55340 and 55360 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 55360

Prime factors of 55360 are 2, 5, 173. Prime factorization of 55360 in exponential form is:

55360 = 2⁶ × 5¹ × 173¹

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 55360

List of positive integer factors of 55360 that divides 55340 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 173, 320, 346, 692, 865, 1384, 1730, 2768, 3460, 5536, 6920, 11072, 13840, 27680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55340 and 55360. The biggest common factor number is the GCF number.
So the greatest common factor 55340 and 55360 is 20.

Also check out the Least Common Multiple of 55340 and 55360