What is the Greatest Common Factor of 60270 and 60278?

Greatest common factor (GCF) of 60270 and 60278 is 2.

GCF(60270,60278) = 2

We will now calculate the prime factors of 60270 and 60278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60270 and 60278.

How to find the GCF of 60270 and 60278?

We will first find the prime factorization of 60270 and 60278. After we will calculate the factors of 60270 and 60278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60278

Prime factors of 60278 are 2, 30139. Prime factorization of 60278 in exponential form is:

60278 = 2¹ × 30139¹

Step-3: Factors of 60270

List of positive integer factors of 60270 that divides 60270 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

Step-4: Factors of 60278

List of positive integer factors of 60278 that divides 60270 without a remainder.

1, 2, 30139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60270 and 60278. The biggest common factor number is the GCF number.
So the greatest common factor 60270 and 60278 is 2.

Also check out the Least Common Multiple of 60270 and 60278