What is the Greatest Common Factor of 55045 and 55050?

Greatest common factor (GCF) of 55045 and 55050 is 5.

GCF(55045,55050) = 5

We will now calculate the prime factors of 55045 and 55050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55045 and 55050.

How to find the GCF of 55045 and 55050?

We will first find the prime factorization of 55045 and 55050. After we will calculate the factors of 55045 and 55050 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55050

Prime factors of 55050 are 2, 3, 5, 367. Prime factorization of 55050 in exponential form is:

55050 = 2¹ × 3¹ × 5² × 367¹

Step-3: Factors of 55045

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

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

Step-4: Factors of 55050

List of positive integer factors of 55050 that divides 55045 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 367, 734, 1101, 1835, 2202, 3670, 5505, 9175, 11010, 18350, 27525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55045 and 55050. The biggest common factor number is the GCF number.
So the greatest common factor 55045 and 55050 is 5.

Also check out the Least Common Multiple of 55045 and 55050