What is the Greatest Common Factor of 62616 and 62625?

Greatest common factor (GCF) of 62616 and 62625 is 3.

GCF(62616,62625) = 3

We will now calculate the prime factors of 62616 and 62625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62616 and 62625.

How to find the GCF of 62616 and 62625?

We will first find the prime factorization of 62616 and 62625. After we will calculate the factors of 62616 and 62625 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62625

Prime factors of 62625 are 3, 5, 167. Prime factorization of 62625 in exponential form is:

62625 = 3¹ × 5³ × 167¹

Step-3: Factors of 62616

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

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

Step-4: Factors of 62625

List of positive integer factors of 62625 that divides 62616 without a remainder.

1, 3, 5, 15, 25, 75, 125, 167, 375, 501, 835, 2505, 4175, 12525, 20875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62616 and 62625. The biggest common factor number is the GCF number.
So the greatest common factor 62616 and 62625 is 3.

Also check out the Least Common Multiple of 62616 and 62625