What is the Greatest Common Factor of 62274 and 62289?

Greatest common factor (GCF) of 62274 and 62289 is 3.

GCF(62274,62289) = 3

We will now calculate the prime factors of 62274 and 62289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62274 and 62289.

How to find the GCF of 62274 and 62289?

We will first find the prime factorization of 62274 and 62289. After we will calculate the factors of 62274 and 62289 and find the biggest common factor number .

Step-1: Prime Factorization of 62274

Prime factors of 62274 are 2, 3, 97, 107. Prime factorization of 62274 in exponential form is:

62274 = 2¹ × 3¹ × 97¹ × 107¹

Step-2: Prime Factorization of 62289

Prime factors of 62289 are 3, 769. Prime factorization of 62289 in exponential form is:

62289 = 3⁴ × 769¹

Step-3: Factors of 62274

List of positive integer factors of 62274 that divides 62274 without a remainder.

1, 2, 3, 6, 97, 107, 194, 214, 291, 321, 582, 642, 10379, 20758, 31137

Step-4: Factors of 62289

List of positive integer factors of 62289 that divides 62274 without a remainder.

1, 3, 9, 27, 81, 769, 2307, 6921, 20763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62274 and 62289. The biggest common factor number is the GCF number.
So the greatest common factor 62274 and 62289 is 3.

Also check out the Least Common Multiple of 62274 and 62289