What is the Greatest Common Factor of 77623 and 77636?

Greatest common factor (GCF) of 77623 and 77636 is 13.

GCF(77623,77636) = 13

We will now calculate the prime factors of 77623 and 77636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77623 and 77636.

How to find the GCF of 77623 and 77636?

We will first find the prime factorization of 77623 and 77636. After we will calculate the factors of 77623 and 77636 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 77636

Prime factors of 77636 are 2, 13, 1493. Prime factorization of 77636 in exponential form is:

77636 = 2² × 13¹ × 1493¹

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 77636

List of positive integer factors of 77636 that divides 77623 without a remainder.

1, 2, 4, 13, 26, 52, 1493, 2986, 5972, 19409, 38818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77623 and 77636. The biggest common factor number is the GCF number.
So the greatest common factor 77623 and 77636 is 13.

Also check out the Least Common Multiple of 77623 and 77636