What is the Greatest Common Factor of 55035 and 55045?

Greatest common factor (GCF) of 55035 and 55045 is 5.

GCF(55035,55045) = 5

We will now calculate the prime factors of 55035 and 55045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55035 and 55045.

How to find the GCF of 55035 and 55045?

We will first find the prime factorization of 55035 and 55045. After we will calculate the factors of 55035 and 55045 and find the biggest common factor number .

Step-1: Prime Factorization of 55035

Prime factors of 55035 are 3, 5, 1223. Prime factorization of 55035 in exponential form is:

55035 = 3² × 5¹ × 1223¹

Step-2: Prime Factorization of 55045

Prime factors of 55045 are 5, 101, 109. Prime factorization of 55045 in exponential form is:

55045 = 5¹ × 101¹ × 109¹

Step-3: Factors of 55035

List of positive integer factors of 55035 that divides 55035 without a remainder.

1, 3, 5, 9, 15, 45, 1223, 3669, 6115, 11007, 18345

Step-4: Factors of 55045

List of positive integer factors of 55045 that divides 55035 without a remainder.

1, 5, 101, 109, 505, 545, 11009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55035 and 55045. The biggest common factor number is the GCF number.
So the greatest common factor 55035 and 55045 is 5.

Also check out the Least Common Multiple of 55035 and 55045