What is the Greatest Common Factor of 73074 and 73082?

Greatest common factor (GCF) of 73074 and 73082 is 2.

GCF(73074,73082) = 2

We will now calculate the prime factors of 73074 and 73082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73074 and 73082.

How to find the GCF of 73074 and 73082?

We will first find the prime factorization of 73074 and 73082. After we will calculate the factors of 73074 and 73082 and find the biggest common factor number .

Step-1: Prime Factorization of 73074

Prime factors of 73074 are 2, 3, 19, 641. Prime factorization of 73074 in exponential form is:

73074 = 2¹ × 3¹ × 19¹ × 641¹

Step-2: Prime Factorization of 73082

Prime factors of 73082 are 2, 36541. Prime factorization of 73082 in exponential form is:

73082 = 2¹ × 36541¹

Step-3: Factors of 73074

List of positive integer factors of 73074 that divides 73074 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 641, 1282, 1923, 3846, 12179, 24358, 36537

Step-4: Factors of 73082

List of positive integer factors of 73082 that divides 73074 without a remainder.

1, 2, 36541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73074 and 73082. The biggest common factor number is the GCF number.
So the greatest common factor 73074 and 73082 is 2.

Also check out the Least Common Multiple of 73074 and 73082