What is the Greatest Common Factor of 62604 and 62622?

Greatest common factor (GCF) of 62604 and 62622 is 18.

GCF(62604,62622) = 18

We will now calculate the prime factors of 62604 and 62622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62604 and 62622.

How to find the GCF of 62604 and 62622?

We will first find the prime factorization of 62604 and 62622. After we will calculate the factors of 62604 and 62622 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 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 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 62622

List of positive integer factors of 62622 that divides 62604 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 62604 and 62622. The biggest common factor number is the GCF number.
So the greatest common factor 62604 and 62622 is 18.

Also check out the Least Common Multiple of 62604 and 62622