What is the Greatest Common Factor of 81214 and 81225?

Greatest common factor (GCF) of 81214 and 81225 is 1.

GCF(81214,81225) = 1

We will now calculate the prime factors of 81214 and 81225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81214 and 81225.

How to find the GCF of 81214 and 81225?

We will first find the prime factorization of 81214 and 81225. After we will calculate the factors of 81214 and 81225 and find the biggest common factor number .

Step-1: Prime Factorization of 81214

Prime factors of 81214 are 2, 7, 5801. Prime factorization of 81214 in exponential form is:

81214 = 2¹ × 7¹ × 5801¹

Step-2: Prime Factorization of 81225

Prime factors of 81225 are 3, 5, 19. Prime factorization of 81225 in exponential form is:

81225 = 3² × 5² × 19²

Step-3: Factors of 81214

List of positive integer factors of 81214 that divides 81214 without a remainder.

1, 2, 7, 14, 5801, 11602, 40607

Step-4: Factors of 81225

List of positive integer factors of 81225 that divides 81214 without a remainder.

1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 361, 475, 855, 1083, 1425, 1805, 3249, 4275, 5415, 9025, 16245, 27075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81214 and 81225. The biggest common factor number is the GCF number.
So the greatest common factor 81214 and 81225 is 1.

Also check out the Least Common Multiple of 81214 and 81225