What is the Greatest Common Factor of 72314 and 72334?

Greatest common factor (GCF) of 72314 and 72334 is 2.

GCF(72314,72334) = 2

We will now calculate the prime factors of 72314 and 72334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72314 and 72334.

How to find the GCF of 72314 and 72334?

We will first find the prime factorization of 72314 and 72334. After we will calculate the factors of 72314 and 72334 and find the biggest common factor number .

Step-1: Prime Factorization of 72314

Prime factors of 72314 are 2, 11, 19, 173. Prime factorization of 72314 in exponential form is:

72314 = 2¹ × 11¹ × 19¹ × 173¹

Step-2: Prime Factorization of 72334

Prime factors of 72334 are 2, 59, 613. Prime factorization of 72334 in exponential form is:

72334 = 2¹ × 59¹ × 613¹

Step-3: Factors of 72314

List of positive integer factors of 72314 that divides 72314 without a remainder.

1, 2, 11, 19, 22, 38, 173, 209, 346, 418, 1903, 3287, 3806, 6574, 36157

Step-4: Factors of 72334

List of positive integer factors of 72334 that divides 72314 without a remainder.

1, 2, 59, 118, 613, 1226, 36167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72314 and 72334. The biggest common factor number is the GCF number.
So the greatest common factor 72314 and 72334 is 2.

Also check out the Least Common Multiple of 72314 and 72334