What is the Greatest Common Factor of 47622 and 47629?

Greatest common factor (GCF) of 47622 and 47629 is 1.

GCF(47622,47629) = 1

We will now calculate the prime factors of 47622 and 47629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47622 and 47629.

How to find the GCF of 47622 and 47629?

We will first find the prime factorization of 47622 and 47629. After we will calculate the factors of 47622 and 47629 and find the biggest common factor number .

Step-1: Prime Factorization of 47622

Prime factors of 47622 are 2, 3, 7937. Prime factorization of 47622 in exponential form is:

47622 = 2¹ × 3¹ × 7937¹

Step-2: Prime Factorization of 47629

Prime factors of 47629 are 47629. Prime factorization of 47629 in exponential form is:

47629 = 47629¹

Step-3: Factors of 47622

List of positive integer factors of 47622 that divides 47622 without a remainder.

1, 2, 3, 6, 7937, 15874, 23811

Step-4: Factors of 47629

List of positive integer factors of 47629 that divides 47622 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47622 and 47629. The biggest common factor number is the GCF number.
So the greatest common factor 47622 and 47629 is 1.

Also check out the Least Common Multiple of 47622 and 47629