What is the Greatest Common Factor of 13072 and 13084?

Greatest common factor (GCF) of 13072 and 13084 is 4.

GCF(13072,13084) = 4

We will now calculate the prime factors of 13072 and 13084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13072 and 13084.

How to find the GCF of 13072 and 13084?

We will first find the prime factorization of 13072 and 13084. After we will calculate the factors of 13072 and 13084 and find the biggest common factor number .

Step-1: Prime Factorization of 13072

Prime factors of 13072 are 2, 19, 43. Prime factorization of 13072 in exponential form is:

13072 = 2⁴ × 19¹ × 43¹

Step-2: Prime Factorization of 13084

Prime factors of 13084 are 2, 3271. Prime factorization of 13084 in exponential form is:

13084 = 2² × 3271¹

Step-3: Factors of 13072

List of positive integer factors of 13072 that divides 13072 without a remainder.

1, 2, 4, 8, 16, 19, 38, 43, 76, 86, 152, 172, 304, 344, 688, 817, 1634, 3268, 6536

Step-4: Factors of 13084

List of positive integer factors of 13084 that divides 13072 without a remainder.

1, 2, 4, 3271, 6542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13072 and 13084. The biggest common factor number is the GCF number.
So the greatest common factor 13072 and 13084 is 4.

Also check out the Least Common Multiple of 13072 and 13084