What is the Greatest Common Factor of 60298 and 60308?

Greatest common factor (GCF) of 60298 and 60308 is 2.

GCF(60298,60308) = 2

We will now calculate the prime factors of 60298 and 60308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60298 and 60308.

How to find the GCF of 60298 and 60308?

We will first find the prime factorization of 60298 and 60308. After we will calculate the factors of 60298 and 60308 and find the biggest common factor number .

Step-1: Prime Factorization of 60298

Prime factors of 60298 are 2, 7, 59, 73. Prime factorization of 60298 in exponential form is:

60298 = 2¹ × 7¹ × 59¹ × 73¹

Step-2: Prime Factorization of 60308

Prime factors of 60308 are 2, 15077. Prime factorization of 60308 in exponential form is:

60308 = 2² × 15077¹

Step-3: Factors of 60298

List of positive integer factors of 60298 that divides 60298 without a remainder.

1, 2, 7, 14, 59, 73, 118, 146, 413, 511, 826, 1022, 4307, 8614, 30149

Step-4: Factors of 60308

List of positive integer factors of 60308 that divides 60298 without a remainder.

1, 2, 4, 15077, 30154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60298 and 60308. The biggest common factor number is the GCF number.
So the greatest common factor 60298 and 60308 is 2.

Also check out the Least Common Multiple of 60298 and 60308