What is the Greatest Common Factor of 69374 and 69382?

Greatest common factor (GCF) of 69374 and 69382 is 2.

GCF(69374,69382) = 2

We will now calculate the prime factors of 69374 and 69382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69374 and 69382.

How to find the GCF of 69374 and 69382?

We will first find the prime factorization of 69374 and 69382. After we will calculate the factors of 69374 and 69382 and find the biggest common factor number .

Step-1: Prime Factorization of 69374

Prime factors of 69374 are 2, 34687. Prime factorization of 69374 in exponential form is:

69374 = 2¹ × 34687¹

Step-2: Prime Factorization of 69382

Prime factors of 69382 are 2, 113, 307. Prime factorization of 69382 in exponential form is:

69382 = 2¹ × 113¹ × 307¹

Step-3: Factors of 69374

List of positive integer factors of 69374 that divides 69374 without a remainder.

1, 2, 34687

Step-4: Factors of 69382

List of positive integer factors of 69382 that divides 69374 without a remainder.

1, 2, 113, 226, 307, 614, 34691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69374 and 69382. The biggest common factor number is the GCF number.
So the greatest common factor 69374 and 69382 is 2.

Also check out the Least Common Multiple of 69374 and 69382