What is the Greatest Common Factor of 55020 and 55035?

Greatest common factor (GCF) of 55020 and 55035 is 15.

GCF(55020,55035) = 15

We will now calculate the prime factors of 55020 and 55035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55020 and 55035.

How to find the GCF of 55020 and 55035?

We will first find the prime factorization of 55020 and 55035. After we will calculate the factors of 55020 and 55035 and find the biggest common factor number .

Step-1: Prime Factorization of 55020

Prime factors of 55020 are 2, 3, 5, 7, 131. Prime factorization of 55020 in exponential form is:

55020 = 2² × 3¹ × 5¹ × 7¹ × 131¹

Step-2: 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-3: Factors of 55020

List of positive integer factors of 55020 that divides 55020 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 131, 140, 210, 262, 393, 420, 524, 655, 786, 917, 1310, 1572, 1834, 1965, 2620, 2751, 3668, 3930, 4585, 5502, 7860, 9170, 11004, 13755, 18340, 27510

Step-4: Factors of 55035

List of positive integer factors of 55035 that divides 55020 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55020 and 55035. The biggest common factor number is the GCF number.
So the greatest common factor 55020 and 55035 is 15.

Also check out the Least Common Multiple of 55020 and 55035