What is the Greatest Common Factor of 55461 and 55479?

Greatest common factor (GCF) of 55461 and 55479 is 3.

GCF(55461,55479) = 3

We will now calculate the prime factors of 55461 and 55479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55461 and 55479.

How to find the GCF of 55461 and 55479?

We will first find the prime factorization of 55461 and 55479. After we will calculate the factors of 55461 and 55479 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 55479

Prime factors of 55479 are 3, 18493. Prime factorization of 55479 in exponential form is:

55479 = 3¹ × 18493¹

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 55479

List of positive integer factors of 55479 that divides 55461 without a remainder.

1, 3, 18493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55461 and 55479. The biggest common factor number is the GCF number.
So the greatest common factor 55461 and 55479 is 3.

Also check out the Least Common Multiple of 55461 and 55479