What is the Greatest Common Factor of 58704 and 58714?

Greatest common factor (GCF) of 58704 and 58714 is 2.

GCF(58704,58714) = 2

We will now calculate the prime factors of 58704 and 58714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58704 and 58714.

How to find the GCF of 58704 and 58714?

We will first find the prime factorization of 58704 and 58714. After we will calculate the factors of 58704 and 58714 and find the biggest common factor number .

Step-1: Prime Factorization of 58704

Prime factors of 58704 are 2, 3, 1223. Prime factorization of 58704 in exponential form is:

58704 = 2⁴ × 3¹ × 1223¹

Step-2: Prime Factorization of 58714

Prime factors of 58714 are 2, 31, 947. Prime factorization of 58714 in exponential form is:

58714 = 2¹ × 31¹ × 947¹

Step-3: Factors of 58704

List of positive integer factors of 58704 that divides 58704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1223, 2446, 3669, 4892, 7338, 9784, 14676, 19568, 29352

Step-4: Factors of 58714

List of positive integer factors of 58714 that divides 58704 without a remainder.

1, 2, 31, 62, 947, 1894, 29357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58704 and 58714. The biggest common factor number is the GCF number.
So the greatest common factor 58704 and 58714 is 2.

Also check out the Least Common Multiple of 58704 and 58714