What is the Greatest Common Factor of 7272 and 7285?

Greatest common factor (GCF) of 7272 and 7285 is 1.

GCF(7272,7285) = 1

We will now calculate the prime factors of 7272 and 7285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7272 and 7285.

How to find the GCF of 7272 and 7285?

We will first find the prime factorization of 7272 and 7285. After we will calculate the factors of 7272 and 7285 and find the biggest common factor number .

Step-1: Prime Factorization of 7272

Prime factors of 7272 are 2, 3, 101. Prime factorization of 7272 in exponential form is:

7272 = 2³ × 3² × 101¹

Step-2: Prime Factorization of 7285

Prime factors of 7285 are 5, 31, 47. Prime factorization of 7285 in exponential form is:

7285 = 5¹ × 31¹ × 47¹

Step-3: Factors of 7272

List of positive integer factors of 7272 that divides 7272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636

Step-4: Factors of 7285

List of positive integer factors of 7285 that divides 7272 without a remainder.

1, 5, 31, 47, 155, 235, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7272 and 7285. The biggest common factor number is the GCF number.
So the greatest common factor 7272 and 7285 is 1.

Also check out the Least Common Multiple of 7272 and 7285