What is the Greatest Common Factor of 77398 and 77406?

Greatest common factor (GCF) of 77398 and 77406 is 2.

GCF(77398,77406) = 2

We will now calculate the prime factors of 77398 and 77406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77398 and 77406.

How to find the GCF of 77398 and 77406?

We will first find the prime factorization of 77398 and 77406. After we will calculate the factors of 77398 and 77406 and find the biggest common factor number .

Step-1: Prime Factorization of 77398

Prime factors of 77398 are 2, 38699. Prime factorization of 77398 in exponential form is:

77398 = 2¹ × 38699¹

Step-2: Prime Factorization of 77406

Prime factors of 77406 are 2, 3, 7, 19, 97. Prime factorization of 77406 in exponential form is:

77406 = 2¹ × 3¹ × 7¹ × 19¹ × 97¹

Step-3: Factors of 77398

List of positive integer factors of 77398 that divides 77398 without a remainder.

1, 2, 38699

Step-4: Factors of 77406

List of positive integer factors of 77406 that divides 77398 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 97, 114, 133, 194, 266, 291, 399, 582, 679, 798, 1358, 1843, 2037, 3686, 4074, 5529, 11058, 12901, 25802, 38703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77398 and 77406. The biggest common factor number is the GCF number.
So the greatest common factor 77398 and 77406 is 2.

Also check out the Least Common Multiple of 77398 and 77406