What is the Greatest Common Factor of 62598 and 62616?

Greatest common factor (GCF) of 62598 and 62616 is 6.

GCF(62598,62616) = 6

We will now calculate the prime factors of 62598 and 62616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62598 and 62616.

How to find the GCF of 62598 and 62616?

We will first find the prime factorization of 62598 and 62616. After we will calculate the factors of 62598 and 62616 and find the biggest common factor number .

Step-1: Prime Factorization of 62598

Prime factors of 62598 are 2, 3, 10433. Prime factorization of 62598 in exponential form is:

62598 = 2¹ × 3¹ × 10433¹

Step-2: Prime Factorization of 62616

Prime factors of 62616 are 2, 3, 2609. Prime factorization of 62616 in exponential form is:

62616 = 2³ × 3¹ × 2609¹

Step-3: Factors of 62598

List of positive integer factors of 62598 that divides 62598 without a remainder.

1, 2, 3, 6, 10433, 20866, 31299

Step-4: Factors of 62616

List of positive integer factors of 62616 that divides 62598 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2609, 5218, 7827, 10436, 15654, 20872, 31308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62598 and 62616. The biggest common factor number is the GCF number.
So the greatest common factor 62598 and 62616 is 6.

Also check out the Least Common Multiple of 62598 and 62616