What is the Greatest Common Factor of 60918 and 60929?

Greatest common factor (GCF) of 60918 and 60929 is 11.

GCF(60918,60929) = 11

We will now calculate the prime factors of 60918 and 60929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60918 and 60929.

How to find the GCF of 60918 and 60929?

We will first find the prime factorization of 60918 and 60929. After we will calculate the factors of 60918 and 60929 and find the biggest common factor number .

Step-1: Prime Factorization of 60918

Prime factors of 60918 are 2, 3, 11, 13, 71. Prime factorization of 60918 in exponential form is:

60918 = 2¹ × 3¹ × 11¹ × 13¹ × 71¹

Step-2: Prime Factorization of 60929

Prime factors of 60929 are 11, 29, 191. Prime factorization of 60929 in exponential form is:

60929 = 11¹ × 29¹ × 191¹

Step-3: Factors of 60918

List of positive integer factors of 60918 that divides 60918 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 71, 78, 142, 143, 213, 286, 426, 429, 781, 858, 923, 1562, 1846, 2343, 2769, 4686, 5538, 10153, 20306, 30459

Step-4: Factors of 60929

List of positive integer factors of 60929 that divides 60918 without a remainder.

1, 11, 29, 191, 319, 2101, 5539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60918 and 60929. The biggest common factor number is the GCF number.
So the greatest common factor 60918 and 60929 is 11.

Also check out the Least Common Multiple of 60918 and 60929