What is the Greatest Common Factor of 62225 and 62238?

Greatest common factor (GCF) of 62225 and 62238 is 1.

GCF(62225,62238) = 1

We will now calculate the prime factors of 62225 and 62238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62225 and 62238.

How to find the GCF of 62225 and 62238?

We will first find the prime factorization of 62225 and 62238. After we will calculate the factors of 62225 and 62238 and find the biggest common factor number .

Step-1: Prime Factorization of 62225

Prime factors of 62225 are 5, 19, 131. Prime factorization of 62225 in exponential form is:

62225 = 5² × 19¹ × 131¹

Step-2: Prime Factorization of 62238

Prime factors of 62238 are 2, 3, 11, 23, 41. Prime factorization of 62238 in exponential form is:

62238 = 2¹ × 3¹ × 11¹ × 23¹ × 41¹

Step-3: Factors of 62225

List of positive integer factors of 62225 that divides 62225 without a remainder.

1, 5, 19, 25, 95, 131, 475, 655, 2489, 3275, 12445

Step-4: Factors of 62238

List of positive integer factors of 62238 that divides 62225 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 41, 46, 66, 69, 82, 123, 138, 246, 253, 451, 506, 759, 902, 943, 1353, 1518, 1886, 2706, 2829, 5658, 10373, 20746, 31119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62225 and 62238. The biggest common factor number is the GCF number.
So the greatest common factor 62225 and 62238 is 1.

Also check out the Least Common Multiple of 62225 and 62238