What is the Greatest Common Factor of 55454 and 55461?

Greatest common factor (GCF) of 55454 and 55461 is 7.

GCF(55454,55461) = 7

We will now calculate the prime factors of 55454 and 55461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55454 and 55461.

How to find the GCF of 55454 and 55461?

We will first find the prime factorization of 55454 and 55461. After we will calculate the factors of 55454 and 55461 and find the biggest common factor number .

Step-1: Prime Factorization of 55454

Prime factors of 55454 are 2, 7, 17, 233. Prime factorization of 55454 in exponential form is:

55454 = 2¹ × 7¹ × 17¹ × 233¹

Step-2: 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-3: Factors of 55454

List of positive integer factors of 55454 that divides 55454 without a remainder.

1, 2, 7, 14, 17, 34, 119, 233, 238, 466, 1631, 3262, 3961, 7922, 27727

Step-4: Factors of 55461

List of positive integer factors of 55461 that divides 55454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55454 and 55461. The biggest common factor number is the GCF number.
So the greatest common factor 55454 and 55461 is 7.

Also check out the Least Common Multiple of 55454 and 55461