What is the Greatest Common Factor of 77406 and 77422?

Greatest common factor (GCF) of 77406 and 77422 is 2.

GCF(77406,77422) = 2

We will now calculate the prime factors of 77406 and 77422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77406 and 77422.

How to find the GCF of 77406 and 77422?

We will first find the prime factorization of 77406 and 77422. After we will calculate the factors of 77406 and 77422 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77422

Prime factors of 77422 are 2, 38711. Prime factorization of 77422 in exponential form is:

77422 = 2¹ × 38711¹

Step-3: Factors of 77406

List of positive integer factors of 77406 that divides 77406 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

Step-4: Factors of 77422

List of positive integer factors of 77422 that divides 77406 without a remainder.

1, 2, 38711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77406 and 77422. The biggest common factor number is the GCF number.
So the greatest common factor 77406 and 77422 is 2.

Also check out the Least Common Multiple of 77406 and 77422