What is the Greatest Common Factor of 35623 and 35629?

Greatest common factor (GCF) of 35623 and 35629 is 1.

GCF(35623,35629) = 1

We will now calculate the prime factors of 35623 and 35629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35623 and 35629.

How to find the GCF of 35623 and 35629?

We will first find the prime factorization of 35623 and 35629. After we will calculate the factors of 35623 and 35629 and find the biggest common factor number .

Step-1: Prime Factorization of 35623

Prime factors of 35623 are 7, 727. Prime factorization of 35623 in exponential form is:

35623 = 7² × 727¹

Step-2: Prime Factorization of 35629

Prime factors of 35629 are 11, 41, 79. Prime factorization of 35629 in exponential form is:

35629 = 11¹ × 41¹ × 79¹

Step-3: Factors of 35623

List of positive integer factors of 35623 that divides 35623 without a remainder.

1, 7, 49, 727, 5089

Step-4: Factors of 35629

List of positive integer factors of 35629 that divides 35623 without a remainder.

1, 11, 41, 79, 451, 869, 3239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35623 and 35629. The biggest common factor number is the GCF number.
So the greatest common factor 35623 and 35629 is 1.

Also check out the Least Common Multiple of 35623 and 35629