What is the Greatest Common Factor of 73053 and 73068?

Greatest common factor (GCF) of 73053 and 73068 is 3.

GCF(73053,73068) = 3

We will now calculate the prime factors of 73053 and 73068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73053 and 73068.

How to find the GCF of 73053 and 73068?

We will first find the prime factorization of 73053 and 73068. After we will calculate the factors of 73053 and 73068 and find the biggest common factor number .

Step-1: Prime Factorization of 73053

Prime factors of 73053 are 3, 8117. Prime factorization of 73053 in exponential form is:

73053 = 3² × 8117¹

Step-2: Prime Factorization of 73068

Prime factors of 73068 are 2, 3, 6089. Prime factorization of 73068 in exponential form is:

73068 = 2² × 3¹ × 6089¹

Step-3: Factors of 73053

List of positive integer factors of 73053 that divides 73053 without a remainder.

1, 3, 9, 8117, 24351

Step-4: Factors of 73068

List of positive integer factors of 73068 that divides 73053 without a remainder.

1, 2, 3, 4, 6, 12, 6089, 12178, 18267, 24356, 36534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73053 and 73068. The biggest common factor number is the GCF number.
So the greatest common factor 73053 and 73068 is 3.

Also check out the Least Common Multiple of 73053 and 73068