What is the Greatest Common Factor of 55480 and 55499?

Greatest common factor (GCF) of 55480 and 55499 is 19.

GCF(55480,55499) = 19

We will now calculate the prime factors of 55480 and 55499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55480 and 55499.

How to find the GCF of 55480 and 55499?

We will first find the prime factorization of 55480 and 55499. After we will calculate the factors of 55480 and 55499 and find the biggest common factor number .

Step-1: Prime Factorization of 55480

Prime factors of 55480 are 2, 5, 19, 73. Prime factorization of 55480 in exponential form is:

55480 = 2³ × 5¹ × 19¹ × 73¹

Step-2: Prime Factorization of 55499

Prime factors of 55499 are 19, 23, 127. Prime factorization of 55499 in exponential form is:

55499 = 19¹ × 23¹ × 127¹

Step-3: Factors of 55480

List of positive integer factors of 55480 that divides 55480 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 73, 76, 95, 146, 152, 190, 292, 365, 380, 584, 730, 760, 1387, 1460, 2774, 2920, 5548, 6935, 11096, 13870, 27740

Step-4: Factors of 55499

List of positive integer factors of 55499 that divides 55480 without a remainder.

1, 19, 23, 127, 437, 2413, 2921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55480 and 55499. The biggest common factor number is the GCF number.
So the greatest common factor 55480 and 55499 is 19.

Also check out the Least Common Multiple of 55480 and 55499