What is the Greatest Common Factor of 81225 and 81235?

Greatest common factor (GCF) of 81225 and 81235 is 5.

GCF(81225,81235) = 5

We will now calculate the prime factors of 81225 and 81235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81225 and 81235.

How to find the GCF of 81225 and 81235?

We will first find the prime factorization of 81225 and 81235. After we will calculate the factors of 81225 and 81235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81235

Prime factors of 81235 are 5, 7, 11, 211. Prime factorization of 81235 in exponential form is:

81235 = 5¹ × 7¹ × 11¹ × 211¹

Step-3: Factors of 81225

List of positive integer factors of 81225 that divides 81225 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

Step-4: Factors of 81235

List of positive integer factors of 81235 that divides 81225 without a remainder.

1, 5, 7, 11, 35, 55, 77, 211, 385, 1055, 1477, 2321, 7385, 11605, 16247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81225 and 81235. The biggest common factor number is the GCF number.
So the greatest common factor 81225 and 81235 is 5.

Also check out the Least Common Multiple of 81225 and 81235