What is the Greatest Common Factor of 60270 and 60280?

Greatest common factor (GCF) of 60270 and 60280 is 10.

GCF(60270,60280) = 10

We will now calculate the prime factors of 60270 and 60280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60270 and 60280.

How to find the GCF of 60270 and 60280?

We will first find the prime factorization of 60270 and 60280. After we will calculate the factors of 60270 and 60280 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 60280

Prime factors of 60280 are 2, 5, 11, 137. Prime factorization of 60280 in exponential form is:

60280 = 2³ × 5¹ × 11¹ × 137¹

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 60280

List of positive integer factors of 60280 that divides 60270 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 137, 220, 274, 440, 548, 685, 1096, 1370, 1507, 2740, 3014, 5480, 6028, 7535, 12056, 15070, 30140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60270 and 60280. The biggest common factor number is the GCF number.
So the greatest common factor 60270 and 60280 is 10.

Also check out the Least Common Multiple of 60270 and 60280