What is the Greatest Common Factor of 60280 and 60290?

Greatest common factor (GCF) of 60280 and 60290 is 10.

GCF(60280,60290) = 10

We will now calculate the prime factors of 60280 and 60290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60280 and 60290.

How to find the GCF of 60280 and 60290?

We will first find the prime factorization of 60280 and 60290. After we will calculate the factors of 60280 and 60290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60290

Prime factors of 60290 are 2, 5, 6029. Prime factorization of 60290 in exponential form is:

60290 = 2¹ × 5¹ × 6029¹

Step-3: Factors of 60280

List of positive integer factors of 60280 that divides 60280 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

Step-4: Factors of 60290

List of positive integer factors of 60290 that divides 60280 without a remainder.

1, 2, 5, 10, 6029, 12058, 30145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60280 and 60290. The biggest common factor number is the GCF number.
So the greatest common factor 60280 and 60290 is 10.

Also check out the Least Common Multiple of 60280 and 60290