What is the Greatest Common Factor of 55414 and 55429?

Greatest common factor (GCF) of 55414 and 55429 is 1.

GCF(55414,55429) = 1

We will now calculate the prime factors of 55414 and 55429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55414 and 55429.

How to find the GCF of 55414 and 55429?

We will first find the prime factorization of 55414 and 55429. After we will calculate the factors of 55414 and 55429 and find the biggest common factor number .

Step-1: Prime Factorization of 55414

Prime factors of 55414 are 2, 103, 269. Prime factorization of 55414 in exponential form is:

55414 = 2¹ × 103¹ × 269¹

Step-2: Prime Factorization of 55429

Prime factors of 55429 are 11, 5039. Prime factorization of 55429 in exponential form is:

55429 = 11¹ × 5039¹

Step-3: Factors of 55414

List of positive integer factors of 55414 that divides 55414 without a remainder.

1, 2, 103, 206, 269, 538, 27707

Step-4: Factors of 55429

List of positive integer factors of 55429 that divides 55414 without a remainder.

1, 11, 5039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55414 and 55429. The biggest common factor number is the GCF number.
So the greatest common factor 55414 and 55429 is 1.

Also check out the Least Common Multiple of 55414 and 55429