What is the Greatest Common Factor of 72428 and 72448?

Greatest common factor (GCF) of 72428 and 72448 is 4.

GCF(72428,72448) = 4

We will now calculate the prime factors of 72428 and 72448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72428 and 72448.

How to find the GCF of 72428 and 72448?

We will first find the prime factorization of 72428 and 72448. After we will calculate the factors of 72428 and 72448 and find the biggest common factor number .

Step-1: Prime Factorization of 72428

Prime factors of 72428 are 2, 19, 953. Prime factorization of 72428 in exponential form is:

72428 = 2² × 19¹ × 953¹

Step-2: Prime Factorization of 72448

Prime factors of 72448 are 2, 283. Prime factorization of 72448 in exponential form is:

72448 = 2⁸ × 283¹

Step-3: Factors of 72428

List of positive integer factors of 72428 that divides 72428 without a remainder.

1, 2, 4, 19, 38, 76, 953, 1906, 3812, 18107, 36214

Step-4: Factors of 72448

List of positive integer factors of 72448 that divides 72428 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 283, 566, 1132, 2264, 4528, 9056, 18112, 36224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72428 and 72448. The biggest common factor number is the GCF number.
So the greatest common factor 72428 and 72448 is 4.

Also check out the Least Common Multiple of 72428 and 72448