What is the Greatest Common Factor of 60298 and 60302?

Greatest common factor (GCF) of 60298 and 60302 is 2.

GCF(60298,60302) = 2

We will now calculate the prime factors of 60298 and 60302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60298 and 60302.

How to find the GCF of 60298 and 60302?

We will first find the prime factorization of 60298 and 60302. After we will calculate the factors of 60298 and 60302 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 60302

Prime factors of 60302 are 2, 11, 2741. Prime factorization of 60302 in exponential form is:

60302 = 2¹ × 11¹ × 2741¹

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 60302

List of positive integer factors of 60302 that divides 60298 without a remainder.

1, 2, 11, 22, 2741, 5482, 30151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60298 and 60302. The biggest common factor number is the GCF number.
So the greatest common factor 60298 and 60302 is 2.

Also check out the Least Common Multiple of 60298 and 60302