What is the Greatest Common Factor of 41622 and 41629?

Greatest common factor (GCF) of 41622 and 41629 is 7.

GCF(41622,41629) = 7

We will now calculate the prime factors of 41622 and 41629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41622 and 41629.

How to find the GCF of 41622 and 41629?

We will first find the prime factorization of 41622 and 41629. After we will calculate the factors of 41622 and 41629 and find the biggest common factor number .

Step-1: Prime Factorization of 41622

Prime factors of 41622 are 2, 3, 7, 991. Prime factorization of 41622 in exponential form is:

41622 = 2¹ × 3¹ × 7¹ × 991¹

Step-2: Prime Factorization of 41629

Prime factors of 41629 are 7, 19, 313. Prime factorization of 41629 in exponential form is:

41629 = 7¹ × 19¹ × 313¹

Step-3: Factors of 41622

List of positive integer factors of 41622 that divides 41622 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 991, 1982, 2973, 5946, 6937, 13874, 20811

Step-4: Factors of 41629

List of positive integer factors of 41629 that divides 41622 without a remainder.

1, 7, 19, 133, 313, 2191, 5947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41622 and 41629. The biggest common factor number is the GCF number.
So the greatest common factor 41622 and 41629 is 7.

Also check out the Least Common Multiple of 41622 and 41629