What is the Greatest Common Factor of 62604 and 62616?

Greatest common factor (GCF) of 62604 and 62616 is 12.

GCF(62604,62616) = 12

We will now calculate the prime factors of 62604 and 62616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62604 and 62616.

How to find the GCF of 62604 and 62616?

We will first find the prime factorization of 62604 and 62616. After we will calculate the factors of 62604 and 62616 and find the biggest common factor number .

Step-1: Prime Factorization of 62604

Prime factors of 62604 are 2, 3, 37, 47. Prime factorization of 62604 in exponential form is:

62604 = 2² × 3² × 37¹ × 47¹

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 62604

List of positive integer factors of 62604 that divides 62604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 47, 74, 94, 111, 141, 148, 188, 222, 282, 333, 423, 444, 564, 666, 846, 1332, 1692, 1739, 3478, 5217, 6956, 10434, 15651, 20868, 31302

Step-4: Factors of 62616

List of positive integer factors of 62616 that divides 62604 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 62604 and 62616. The biggest common factor number is the GCF number.
So the greatest common factor 62604 and 62616 is 12.

Also check out the Least Common Multiple of 62604 and 62616