What is the Greatest Common Factor of 60278 and 60290?

Greatest common factor (GCF) of 60278 and 60290 is 2.

GCF(60278,60290) = 2

We will now calculate the prime factors of 60278 and 60290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60278 and 60290.

How to find the GCF of 60278 and 60290?

We will first find the prime factorization of 60278 and 60290. After we will calculate the factors of 60278 and 60290 and find the biggest common factor number .

Step-1: Prime Factorization of 60278

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

60278 = 2¹ × 30139¹

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 60278

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

1, 2, 30139

Step-4: Factors of 60290

List of positive integer factors of 60290 that divides 60278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60278 and 60290. The biggest common factor number is the GCF number.
So the greatest common factor 60278 and 60290 is 2.

Also check out the Least Common Multiple of 60278 and 60290