What is the Greatest Common Factor of 62622 and 62629?

Greatest common factor (GCF) of 62622 and 62629 is 7.

GCF(62622,62629) = 7

We will now calculate the prime factors of 62622 and 62629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62622 and 62629.

How to find the GCF of 62622 and 62629?

We will first find the prime factorization of 62622 and 62629. After we will calculate the factors of 62622 and 62629 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62629

Prime factors of 62629 are 7, 23, 389. Prime factorization of 62629 in exponential form is:

62629 = 7¹ × 23¹ × 389¹

Step-3: Factors of 62622

List of positive integer factors of 62622 that divides 62622 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

Step-4: Factors of 62629

List of positive integer factors of 62629 that divides 62622 without a remainder.

1, 7, 23, 161, 389, 2723, 8947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62622 and 62629. The biggest common factor number is the GCF number.
So the greatest common factor 62622 and 62629 is 7.

Also check out the Least Common Multiple of 62622 and 62629