What is the Greatest Common Factor of 62616 and 62622?

Greatest common factor (GCF) of 62616 and 62622 is 6.

GCF(62616,62622) = 6

We will now calculate the prime factors of 62616 and 62622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62616 and 62622.

How to find the GCF of 62616 and 62622?

We will first find the prime factorization of 62616 and 62622. After we will calculate the factors of 62616 and 62622 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 62622

Prime factors of 62622 are 2, 3, 7, 71. Prime factorization of 62622 in exponential form is:

62622 = 2¹ × 3² × 7² × 71¹

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 62622

List of positive integer factors of 62622 that divides 62616 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 71, 98, 126, 142, 147, 213, 294, 426, 441, 497, 639, 882, 994, 1278, 1491, 2982, 3479, 4473, 6958, 8946, 10437, 20874, 31311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62616 and 62622. The biggest common factor number is the GCF number.
So the greatest common factor 62616 and 62622 is 6.

Also check out the Least Common Multiple of 62616 and 62622