What is the Greatest Common Factor of 72436 and 72452?

Greatest common factor (GCF) of 72436 and 72452 is 4.

GCF(72436,72452) = 4

We will now calculate the prime factors of 72436 and 72452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72436 and 72452.

How to find the GCF of 72436 and 72452?

We will first find the prime factorization of 72436 and 72452. After we will calculate the factors of 72436 and 72452 and find the biggest common factor number .

Step-1: Prime Factorization of 72436

Prime factors of 72436 are 2, 7, 13, 199. Prime factorization of 72436 in exponential form is:

72436 = 2² × 7¹ × 13¹ × 199¹

Step-2: Prime Factorization of 72452

Prime factors of 72452 are 2, 59, 307. Prime factorization of 72452 in exponential form is:

72452 = 2² × 59¹ × 307¹

Step-3: Factors of 72436

List of positive integer factors of 72436 that divides 72436 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 199, 364, 398, 796, 1393, 2587, 2786, 5174, 5572, 10348, 18109, 36218

Step-4: Factors of 72452

List of positive integer factors of 72452 that divides 72436 without a remainder.

1, 2, 4, 59, 118, 236, 307, 614, 1228, 18113, 36226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72436 and 72452. The biggest common factor number is the GCF number.
So the greatest common factor 72436 and 72452 is 4.

Also check out the Least Common Multiple of 72436 and 72452