What is the Greatest Common Factor of 45448 and 45454?

Greatest common factor (GCF) of 45448 and 45454 is 2.

GCF(45448,45454) = 2

We will now calculate the prime factors of 45448 and 45454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45448 and 45454.

How to find the GCF of 45448 and 45454?

We will first find the prime factorization of 45448 and 45454. After we will calculate the factors of 45448 and 45454 and find the biggest common factor number .

Step-1: Prime Factorization of 45448

Prime factors of 45448 are 2, 13, 19, 23. Prime factorization of 45448 in exponential form is:

45448 = 2³ × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 45454

Prime factors of 45454 are 2, 22727. Prime factorization of 45454 in exponential form is:

45454 = 2¹ × 22727¹

Step-3: Factors of 45448

List of positive integer factors of 45448 that divides 45448 without a remainder.

1, 2, 4, 8, 13, 19, 23, 26, 38, 46, 52, 76, 92, 104, 152, 184, 247, 299, 437, 494, 598, 874, 988, 1196, 1748, 1976, 2392, 3496, 5681, 11362, 22724

Step-4: Factors of 45454

List of positive integer factors of 45454 that divides 45448 without a remainder.

1, 2, 22727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45448 and 45454. The biggest common factor number is the GCF number.
So the greatest common factor 45448 and 45454 is 2.

Also check out the Least Common Multiple of 45448 and 45454