What is the Greatest Common Factor of 58914 and 58932?

Greatest common factor (GCF) of 58914 and 58932 is 18.

GCF(58914,58932) = 18

We will now calculate the prime factors of 58914 and 58932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58914 and 58932.

How to find the GCF of 58914 and 58932?

We will first find the prime factorization of 58914 and 58932. After we will calculate the factors of 58914 and 58932 and find the biggest common factor number .

Step-1: Prime Factorization of 58914

Prime factors of 58914 are 2, 3, 1091. Prime factorization of 58914 in exponential form is:

58914 = 2¹ × 3³ × 1091¹

Step-2: Prime Factorization of 58932

Prime factors of 58932 are 2, 3, 1637. Prime factorization of 58932 in exponential form is:

58932 = 2² × 3² × 1637¹

Step-3: Factors of 58914

List of positive integer factors of 58914 that divides 58914 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1091, 2182, 3273, 6546, 9819, 19638, 29457

Step-4: Factors of 58932

List of positive integer factors of 58932 that divides 58914 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1637, 3274, 4911, 6548, 9822, 14733, 19644, 29466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58914 and 58932. The biggest common factor number is the GCF number.
So the greatest common factor 58914 and 58932 is 18.

Also check out the Least Common Multiple of 58914 and 58932