What is the Greatest Common Factor of 60909 and 60928?

Greatest common factor (GCF) of 60909 and 60928 is 1.

GCF(60909,60928) = 1

We will now calculate the prime factors of 60909 and 60928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60909 and 60928.

How to find the GCF of 60909 and 60928?

We will first find the prime factorization of 60909 and 60928. After we will calculate the factors of 60909 and 60928 and find the biggest common factor number .

Step-1: Prime Factorization of 60909

Prime factors of 60909 are 3, 79, 257. Prime factorization of 60909 in exponential form is:

60909 = 3¹ × 79¹ × 257¹

Step-2: Prime Factorization of 60928

Prime factors of 60928 are 2, 7, 17. Prime factorization of 60928 in exponential form is:

60928 = 2⁹ × 7¹ × 17¹

Step-3: Factors of 60909

List of positive integer factors of 60909 that divides 60909 without a remainder.

1, 3, 79, 237, 257, 771, 20303

Step-4: Factors of 60928

List of positive integer factors of 60928 that divides 60909 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 256, 272, 448, 476, 512, 544, 896, 952, 1088, 1792, 1904, 2176, 3584, 3808, 4352, 7616, 8704, 15232, 30464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60909 and 60928. The biggest common factor number is the GCF number.
So the greatest common factor 60909 and 60928 is 1.

Also check out the Least Common Multiple of 60909 and 60928