What is the Greatest Common Factor of 60284 and 60298?

Greatest common factor (GCF) of 60284 and 60298 is 14.

GCF(60284,60298) = 14

We will now calculate the prime factors of 60284 and 60298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60284 and 60298.

How to find the GCF of 60284 and 60298?

We will first find the prime factorization of 60284 and 60298. After we will calculate the factors of 60284 and 60298 and find the biggest common factor number .

Step-1: Prime Factorization of 60284

Prime factors of 60284 are 2, 7, 2153. Prime factorization of 60284 in exponential form is:

60284 = 2² × 7¹ × 2153¹

Step-2: 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-3: Factors of 60284

List of positive integer factors of 60284 that divides 60284 without a remainder.

1, 2, 4, 7, 14, 28, 2153, 4306, 8612, 15071, 30142

Step-4: Factors of 60298

List of positive integer factors of 60298 that divides 60284 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60284 and 60298. The biggest common factor number is the GCF number.
So the greatest common factor 60284 and 60298 is 14.

Also check out the Least Common Multiple of 60284 and 60298