What is the Greatest Common Factor of 77294 and 77301?

Greatest common factor (GCF) of 77294 and 77301 is 7.

GCF(77294,77301) = 7

We will now calculate the prime factors of 77294 and 77301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77294 and 77301.

How to find the GCF of 77294 and 77301?

We will first find the prime factorization of 77294 and 77301. After we will calculate the factors of 77294 and 77301 and find the biggest common factor number .

Step-1: Prime Factorization of 77294

Prime factors of 77294 are 2, 7, 5521. Prime factorization of 77294 in exponential form is:

77294 = 2¹ × 7¹ × 5521¹

Step-2: Prime Factorization of 77301

Prime factors of 77301 are 3, 7, 409. Prime factorization of 77301 in exponential form is:

77301 = 3³ × 7¹ × 409¹

Step-3: Factors of 77294

List of positive integer factors of 77294 that divides 77294 without a remainder.

1, 2, 7, 14, 5521, 11042, 38647

Step-4: Factors of 77301

List of positive integer factors of 77301 that divides 77294 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 409, 1227, 2863, 3681, 8589, 11043, 25767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77294 and 77301. The biggest common factor number is the GCF number.
So the greatest common factor 77294 and 77301 is 7.

Also check out the Least Common Multiple of 77294 and 77301