What is the Greatest Common Factor of 73017 and 73035?

Greatest common factor (GCF) of 73017 and 73035 is 9.

GCF(73017,73035) = 9

We will now calculate the prime factors of 73017 and 73035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73017 and 73035.

How to find the GCF of 73017 and 73035?

We will first find the prime factorization of 73017 and 73035. After we will calculate the factors of 73017 and 73035 and find the biggest common factor number .

Step-1: Prime Factorization of 73017

Prime factors of 73017 are 3, 7, 19, 61. Prime factorization of 73017 in exponential form is:

73017 = 3² × 7¹ × 19¹ × 61¹

Step-2: Prime Factorization of 73035

Prime factors of 73035 are 3, 5, 541. Prime factorization of 73035 in exponential form is:

73035 = 3³ × 5¹ × 541¹

Step-3: Factors of 73017

List of positive integer factors of 73017 that divides 73017 without a remainder.

1, 3, 7, 9, 19, 21, 57, 61, 63, 133, 171, 183, 399, 427, 549, 1159, 1197, 1281, 3477, 3843, 8113, 10431, 24339

Step-4: Factors of 73035

List of positive integer factors of 73035 that divides 73017 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 541, 1623, 2705, 4869, 8115, 14607, 24345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73017 and 73035. The biggest common factor number is the GCF number.
So the greatest common factor 73017 and 73035 is 9.

Also check out the Least Common Multiple of 73017 and 73035