What is the Greatest Common Factor of 60252 and 60270?

Greatest common factor (GCF) of 60252 and 60270 is 6.

GCF(60252,60270) = 6

We will now calculate the prime factors of 60252 and 60270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60252 and 60270.

How to find the GCF of 60252 and 60270?

We will first find the prime factorization of 60252 and 60270. After we will calculate the factors of 60252 and 60270 and find the biggest common factor number .

Step-1: Prime Factorization of 60252

Prime factors of 60252 are 2, 3, 5021. Prime factorization of 60252 in exponential form is:

60252 = 2² × 3¹ × 5021¹

Step-2: Prime Factorization of 60270

Prime factors of 60270 are 2, 3, 5, 7, 41. Prime factorization of 60270 in exponential form is:

60270 = 2¹ × 3¹ × 5¹ × 7² × 41¹

Step-3: Factors of 60252

List of positive integer factors of 60252 that divides 60252 without a remainder.

1, 2, 3, 4, 6, 12, 5021, 10042, 15063, 20084, 30126

Step-4: Factors of 60270

List of positive integer factors of 60270 that divides 60252 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 49, 70, 82, 98, 105, 123, 147, 205, 210, 245, 246, 287, 294, 410, 490, 574, 615, 735, 861, 1230, 1435, 1470, 1722, 2009, 2870, 4018, 4305, 6027, 8610, 10045, 12054, 20090, 30135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60252 and 60270. The biggest common factor number is the GCF number.
So the greatest common factor 60252 and 60270 is 6.

Also check out the Least Common Multiple of 60252 and 60270