What is the Greatest Common Factor of 32438 and 32448?

Greatest common factor (GCF) of 32438 and 32448 is 2.

GCF(32438,32448) = 2

We will now calculate the prime factors of 32438 and 32448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32438 and 32448.

How to find the GCF of 32438 and 32448?

We will first find the prime factorization of 32438 and 32448. After we will calculate the factors of 32438 and 32448 and find the biggest common factor number .

Step-1: Prime Factorization of 32438

Prime factors of 32438 are 2, 7, 331. Prime factorization of 32438 in exponential form is:

32438 = 2¹ × 7² × 331¹

Step-2: Prime Factorization of 32448

Prime factors of 32448 are 2, 3, 13. Prime factorization of 32448 in exponential form is:

32448 = 2⁶ × 3¹ × 13²

Step-3: Factors of 32438

List of positive integer factors of 32438 that divides 32438 without a remainder.

1, 2, 7, 14, 49, 98, 331, 662, 2317, 4634, 16219

Step-4: Factors of 32448

List of positive integer factors of 32448 that divides 32438 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 169, 192, 208, 312, 338, 416, 507, 624, 676, 832, 1014, 1248, 1352, 2028, 2496, 2704, 4056, 5408, 8112, 10816, 16224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32438 and 32448. The biggest common factor number is the GCF number.
So the greatest common factor 32438 and 32448 is 2.

Also check out the Least Common Multiple of 32438 and 32448