What is the Greatest Common Factor of 72270 and 72277?

Greatest common factor (GCF) of 72270 and 72277 is 1.

GCF(72270,72277) = 1

We will now calculate the prime factors of 72270 and 72277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72270 and 72277.

How to find the GCF of 72270 and 72277?

We will first find the prime factorization of 72270 and 72277. After we will calculate the factors of 72270 and 72277 and find the biggest common factor number .

Step-1: Prime Factorization of 72270

Prime factors of 72270 are 2, 3, 5, 11, 73. Prime factorization of 72270 in exponential form is:

72270 = 2¹ × 3² × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 72277

Prime factors of 72277 are 72277. Prime factorization of 72277 in exponential form is:

72277 = 72277¹

Step-3: Factors of 72270

List of positive integer factors of 72270 that divides 72270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 73, 90, 99, 110, 146, 165, 198, 219, 330, 365, 438, 495, 657, 730, 803, 990, 1095, 1314, 1606, 2190, 2409, 3285, 4015, 4818, 6570, 7227, 8030, 12045, 14454, 24090, 36135

Step-4: Factors of 72277

List of positive integer factors of 72277 that divides 72270 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72270 and 72277. The biggest common factor number is the GCF number.
So the greatest common factor 72270 and 72277 is 1.

Also check out the Least Common Multiple of 72270 and 72277