What is the Greatest Common Factor of 29262 and 29277?

Greatest common factor (GCF) of 29262 and 29277 is 3.

GCF(29262,29277) = 3

We will now calculate the prime factors of 29262 and 29277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29262 and 29277.

How to find the GCF of 29262 and 29277?

We will first find the prime factorization of 29262 and 29277. After we will calculate the factors of 29262 and 29277 and find the biggest common factor number .

Step-1: Prime Factorization of 29262

Prime factors of 29262 are 2, 3, 4877. Prime factorization of 29262 in exponential form is:

29262 = 2¹ × 3¹ × 4877¹

Step-2: Prime Factorization of 29277

Prime factors of 29277 are 3, 3253. Prime factorization of 29277 in exponential form is:

29277 = 3² × 3253¹

Step-3: Factors of 29262

List of positive integer factors of 29262 that divides 29262 without a remainder.

1, 2, 3, 6, 4877, 9754, 14631

Step-4: Factors of 29277

List of positive integer factors of 29277 that divides 29262 without a remainder.

1, 3, 9, 3253, 9759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29262 and 29277. The biggest common factor number is the GCF number.
So the greatest common factor 29262 and 29277 is 3.

Also check out the Least Common Multiple of 29262 and 29277