What is the Greatest Common Factor of 60018 and 60028?

Greatest common factor (GCF) of 60018 and 60028 is 2.

GCF(60018,60028) = 2

We will now calculate the prime factors of 60018 and 60028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60018 and 60028.

How to find the GCF of 60018 and 60028?

We will first find the prime factorization of 60018 and 60028. After we will calculate the factors of 60018 and 60028 and find the biggest common factor number .

Step-1: Prime Factorization of 60018

Prime factors of 60018 are 2, 3, 7, 1429. Prime factorization of 60018 in exponential form is:

60018 = 2¹ × 3¹ × 7¹ × 1429¹

Step-2: Prime Factorization of 60028

Prime factors of 60028 are 2, 43, 349. Prime factorization of 60028 in exponential form is:

60028 = 2² × 43¹ × 349¹

Step-3: Factors of 60018

List of positive integer factors of 60018 that divides 60018 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1429, 2858, 4287, 8574, 10003, 20006, 30009

Step-4: Factors of 60028

List of positive integer factors of 60028 that divides 60018 without a remainder.

1, 2, 4, 43, 86, 172, 349, 698, 1396, 15007, 30014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60018 and 60028. The biggest common factor number is the GCF number.
So the greatest common factor 60018 and 60028 is 2.

Also check out the Least Common Multiple of 60018 and 60028