What is the Greatest Common Factor of 29262 and 29282?

Greatest common factor (GCF) of 29262 and 29282 is 2.

GCF(29262,29282) = 2

We will now calculate the prime factors of 29262 and 29282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29262 and 29282.

How to find the GCF of 29262 and 29282?

We will first find the prime factorization of 29262 and 29282. After we will calculate the factors of 29262 and 29282 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 29282

Prime factors of 29282 are 2, 11. Prime factorization of 29282 in exponential form is:

29282 = 2¹ × 11⁴

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 29282

List of positive integer factors of 29282 that divides 29262 without a remainder.

1, 2, 11, 22, 121, 242, 1331, 2662, 14641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29262 and 29282. The biggest common factor number is the GCF number.
So the greatest common factor 29262 and 29282 is 2.

Also check out the Least Common Multiple of 29262 and 29282