What is the Greatest Common Factor of 77429 and 77436?

Greatest common factor (GCF) of 77429 and 77436 is 1.

GCF(77429,77436) = 1

We will now calculate the prime factors of 77429 and 77436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77429 and 77436.

How to find the GCF of 77429 and 77436?

We will first find the prime factorization of 77429 and 77436. After we will calculate the factors of 77429 and 77436 and find the biggest common factor number .

Step-1: Prime Factorization of 77429

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

77429 = 11¹ × 7039¹

Step-2: Prime Factorization of 77436

Prime factors of 77436 are 2, 3, 239. Prime factorization of 77436 in exponential form is:

77436 = 2² × 3⁴ × 239¹

Step-3: Factors of 77429

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

1, 11, 7039

Step-4: Factors of 77436

List of positive integer factors of 77436 that divides 77429 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 239, 324, 478, 717, 956, 1434, 2151, 2868, 4302, 6453, 8604, 12906, 19359, 25812, 38718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77429 and 77436. The biggest common factor number is the GCF number.
So the greatest common factor 77429 and 77436 is 1.

Also check out the Least Common Multiple of 77429 and 77436