What is the Greatest Common Factor of 58920 and 58929?

Greatest common factor (GCF) of 58920 and 58929 is 3.

GCF(58920,58929) = 3

We will now calculate the prime factors of 58920 and 58929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58920 and 58929.

How to find the GCF of 58920 and 58929?

We will first find the prime factorization of 58920 and 58929. After we will calculate the factors of 58920 and 58929 and find the biggest common factor number .

Step-1: Prime Factorization of 58920

Prime factors of 58920 are 2, 3, 5, 491. Prime factorization of 58920 in exponential form is:

58920 = 2³ × 3¹ × 5¹ × 491¹

Step-2: Prime Factorization of 58929

Prime factors of 58929 are 3, 13, 1511. Prime factorization of 58929 in exponential form is:

58929 = 3¹ × 13¹ × 1511¹

Step-3: Factors of 58920

List of positive integer factors of 58920 that divides 58920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 491, 982, 1473, 1964, 2455, 2946, 3928, 4910, 5892, 7365, 9820, 11784, 14730, 19640, 29460

Step-4: Factors of 58929

List of positive integer factors of 58929 that divides 58920 without a remainder.

1, 3, 13, 39, 1511, 4533, 19643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58920 and 58929. The biggest common factor number is the GCF number.
So the greatest common factor 58920 and 58929 is 3.

Also check out the Least Common Multiple of 58920 and 58929