What is the Greatest Common Factor of 55461 and 55480?

Greatest common factor (GCF) of 55461 and 55480 is 19.

GCF(55461,55480) = 19

We will now calculate the prime factors of 55461 and 55480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55461 and 55480.

How to find the GCF of 55461 and 55480?

We will first find the prime factorization of 55461 and 55480. After we will calculate the factors of 55461 and 55480 and find the biggest common factor number .

Step-1: Prime Factorization of 55461

Prime factors of 55461 are 3, 7, 19, 139. Prime factorization of 55461 in exponential form is:

55461 = 3¹ × 7¹ × 19¹ × 139¹

Step-2: 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-3: Factors of 55461

List of positive integer factors of 55461 that divides 55461 without a remainder.

1, 3, 7, 19, 21, 57, 133, 139, 399, 417, 973, 2641, 2919, 7923, 18487

Step-4: Factors of 55480

List of positive integer factors of 55480 that divides 55461 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55461 and 55480. The biggest common factor number is the GCF number.
So the greatest common factor 55461 and 55480 is 19.

Also check out the Least Common Multiple of 55461 and 55480