What is the Greatest Common Factor of 77623 and 77629?

Greatest common factor (GCF) of 77623 and 77629 is 1.

GCF(77623,77629) = 1

We will now calculate the prime factors of 77623 and 77629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77623 and 77629.

How to find the GCF of 77623 and 77629?

We will first find the prime factorization of 77623 and 77629. After we will calculate the factors of 77623 and 77629 and find the biggest common factor number .

Step-1: Prime Factorization of 77623

Prime factors of 77623 are 7, 13, 853. Prime factorization of 77623 in exponential form is:

77623 = 7¹ × 13¹ × 853¹

Step-2: Prime Factorization of 77629

Prime factors of 77629 are 149, 521. Prime factorization of 77629 in exponential form is:

77629 = 149¹ × 521¹

Step-3: Factors of 77623

List of positive integer factors of 77623 that divides 77623 without a remainder.

1, 7, 13, 91, 853, 5971, 11089

Step-4: Factors of 77629

List of positive integer factors of 77629 that divides 77623 without a remainder.

1, 149, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77623 and 77629. The biggest common factor number is the GCF number.
So the greatest common factor 77623 and 77629 is 1.

Also check out the Least Common Multiple of 77623 and 77629