What is the Greatest Common Factor of 83454 and 83468?

Greatest common factor (GCF) of 83454 and 83468 is 14.

GCF(83454,83468) = 14

We will now calculate the prime factors of 83454 and 83468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83454 and 83468.

How to find the GCF of 83454 and 83468?

We will first find the prime factorization of 83454 and 83468. After we will calculate the factors of 83454 and 83468 and find the biggest common factor number .

Step-1: Prime Factorization of 83454

Prime factors of 83454 are 2, 3, 7, 1987. Prime factorization of 83454 in exponential form is:

83454 = 2¹ × 3¹ × 7¹ × 1987¹

Step-2: Prime Factorization of 83468

Prime factors of 83468 are 2, 7, 11, 271. Prime factorization of 83468 in exponential form is:

83468 = 2² × 7¹ × 11¹ × 271¹

Step-3: Factors of 83454

List of positive integer factors of 83454 that divides 83454 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1987, 3974, 5961, 11922, 13909, 27818, 41727

Step-4: Factors of 83468

List of positive integer factors of 83468 that divides 83454 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 271, 308, 542, 1084, 1897, 2981, 3794, 5962, 7588, 11924, 20867, 41734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83454 and 83468. The biggest common factor number is the GCF number.
So the greatest common factor 83454 and 83468 is 14.

Also check out the Least Common Multiple of 83454 and 83468