What is the Greatest Common Factor of 76429 and 76435?

Greatest common factor (GCF) of 76429 and 76435 is 1.

GCF(76429,76435) = 1

We will now calculate the prime factors of 76429 and 76435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76429 and 76435.

How to find the GCF of 76429 and 76435?

We will first find the prime factorization of 76429 and 76435. After we will calculate the factors of 76429 and 76435 and find the biggest common factor number .

Step-1: Prime Factorization of 76429

Prime factors of 76429 are 23, 3323. Prime factorization of 76429 in exponential form is:

76429 = 23¹ × 3323¹

Step-2: Prime Factorization of 76435

Prime factors of 76435 are 5, 15287. Prime factorization of 76435 in exponential form is:

76435 = 5¹ × 15287¹

Step-3: Factors of 76429

List of positive integer factors of 76429 that divides 76429 without a remainder.

1, 23, 3323

Step-4: Factors of 76435

List of positive integer factors of 76435 that divides 76429 without a remainder.

1, 5, 15287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76429 and 76435. The biggest common factor number is the GCF number.
So the greatest common factor 76429 and 76435 is 1.

Also check out the Least Common Multiple of 76429 and 76435