What is the Greatest Common Factor of 77434 and 77441?

Greatest common factor (GCF) of 77434 and 77441 is 7.

GCF(77434,77441) = 7

We will now calculate the prime factors of 77434 and 77441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77434 and 77441.

How to find the GCF of 77434 and 77441?

We will first find the prime factorization of 77434 and 77441. After we will calculate the factors of 77434 and 77441 and find the biggest common factor number .

Step-1: Prime Factorization of 77434

Prime factors of 77434 are 2, 7, 5531. Prime factorization of 77434 in exponential form is:

77434 = 2¹ × 7¹ × 5531¹

Step-2: Prime Factorization of 77441

Prime factors of 77441 are 7, 13, 23, 37. Prime factorization of 77441 in exponential form is:

77441 = 7¹ × 13¹ × 23¹ × 37¹

Step-3: Factors of 77434

List of positive integer factors of 77434 that divides 77434 without a remainder.

1, 2, 7, 14, 5531, 11062, 38717

Step-4: Factors of 77441

List of positive integer factors of 77441 that divides 77434 without a remainder.

1, 7, 13, 23, 37, 91, 161, 259, 299, 481, 851, 2093, 3367, 5957, 11063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77434 and 77441. The biggest common factor number is the GCF number.
So the greatest common factor 77434 and 77441 is 7.

Also check out the Least Common Multiple of 77434 and 77441