What is the Greatest Common Factor of 72969 and 72982?

Greatest common factor (GCF) of 72969 and 72982 is 13.

GCF(72969,72982) = 13

We will now calculate the prime factors of 72969 and 72982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72969 and 72982.

How to find the GCF of 72969 and 72982?

We will first find the prime factorization of 72969 and 72982. After we will calculate the factors of 72969 and 72982 and find the biggest common factor number .

Step-1: Prime Factorization of 72969

Prime factors of 72969 are 3, 13, 1871. Prime factorization of 72969 in exponential form is:

72969 = 3¹ × 13¹ × 1871¹

Step-2: Prime Factorization of 72982

Prime factors of 72982 are 2, 7, 13, 401. Prime factorization of 72982 in exponential form is:

72982 = 2¹ × 7¹ × 13¹ × 401¹

Step-3: Factors of 72969

List of positive integer factors of 72969 that divides 72969 without a remainder.

1, 3, 13, 39, 1871, 5613, 24323

Step-4: Factors of 72982

List of positive integer factors of 72982 that divides 72969 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 401, 802, 2807, 5213, 5614, 10426, 36491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72969 and 72982. The biggest common factor number is the GCF number.
So the greatest common factor 72969 and 72982 is 13.

Also check out the Least Common Multiple of 72969 and 72982