What is the Greatest Common Factor of 60291 and 60298?

Greatest common factor (GCF) of 60291 and 60298 is 7.

GCF(60291,60298) = 7

We will now calculate the prime factors of 60291 and 60298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60291 and 60298.

How to find the GCF of 60291 and 60298?

We will first find the prime factorization of 60291 and 60298. After we will calculate the factors of 60291 and 60298 and find the biggest common factor number .

Step-1: Prime Factorization of 60291

Prime factors of 60291 are 3, 7, 11, 29. Prime factorization of 60291 in exponential form is:

60291 = 3³ × 7¹ × 11¹ × 29¹

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 60291

List of positive integer factors of 60291 that divides 60291 without a remainder.

1, 3, 7, 9, 11, 21, 27, 29, 33, 63, 77, 87, 99, 189, 203, 231, 261, 297, 319, 609, 693, 783, 957, 1827, 2079, 2233, 2871, 5481, 6699, 8613, 20097

Step-4: Factors of 60298

List of positive integer factors of 60298 that divides 60291 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 60291 and 60298. The biggest common factor number is the GCF number.
So the greatest common factor 60291 and 60298 is 7.

Also check out the Least Common Multiple of 60291 and 60298