What is the Greatest Common Factor of 73068 and 73076?

Greatest common factor (GCF) of 73068 and 73076 is 4.

GCF(73068,73076) = 4

We will now calculate the prime factors of 73068 and 73076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73068 and 73076.

How to find the GCF of 73068 and 73076?

We will first find the prime factorization of 73068 and 73076. After we will calculate the factors of 73068 and 73076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73076

Prime factors of 73076 are 2, 18269. Prime factorization of 73076 in exponential form is:

73076 = 2² × 18269¹

Step-3: Factors of 73068

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

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

Step-4: Factors of 73076

List of positive integer factors of 73076 that divides 73068 without a remainder.

1, 2, 4, 18269, 36538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73068 and 73076. The biggest common factor number is the GCF number.
So the greatest common factor 73068 and 73076 is 4.

Also check out the Least Common Multiple of 73068 and 73076