What is the Greatest Common Factor of 45448 and 45461?

Greatest common factor (GCF) of 45448 and 45461 is 13.

GCF(45448,45461) = 13

We will now calculate the prime factors of 45448 and 45461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45448 and 45461.

How to find the GCF of 45448 and 45461?

We will first find the prime factorization of 45448 and 45461. After we will calculate the factors of 45448 and 45461 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 45461

Prime factors of 45461 are 13, 269. Prime factorization of 45461 in exponential form is:

45461 = 13² × 269¹

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 45461

List of positive integer factors of 45461 that divides 45448 without a remainder.

1, 13, 169, 269, 3497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45448 and 45461. The biggest common factor number is the GCF number.
So the greatest common factor 45448 and 45461 is 13.

Also check out the Least Common Multiple of 45448 and 45461