What is the Greatest Common Factor of 77416 and 77429?

Greatest common factor (GCF) of 77416 and 77429 is 1.

GCF(77416,77429) = 1

We will now calculate the prime factors of 77416 and 77429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77416 and 77429.

How to find the GCF of 77416 and 77429?

We will first find the prime factorization of 77416 and 77429. After we will calculate the factors of 77416 and 77429 and find the biggest common factor number .

Step-1: Prime Factorization of 77416

Prime factors of 77416 are 2, 9677. Prime factorization of 77416 in exponential form is:

77416 = 2³ × 9677¹

Step-2: Prime Factorization of 77429

Prime factors of 77429 are 11, 7039. Prime factorization of 77429 in exponential form is:

77429 = 11¹ × 7039¹

Step-3: Factors of 77416

List of positive integer factors of 77416 that divides 77416 without a remainder.

1, 2, 4, 8, 9677, 19354, 38708

Step-4: Factors of 77429

List of positive integer factors of 77429 that divides 77416 without a remainder.

1, 11, 7039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77416 and 77429. The biggest common factor number is the GCF number.
So the greatest common factor 77416 and 77429 is 1.

Also check out the Least Common Multiple of 77416 and 77429