What is the Greatest Common Factor of 45429 and 45448?

Greatest common factor (GCF) of 45429 and 45448 is 19.

GCF(45429,45448) = 19

We will now calculate the prime factors of 45429 and 45448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45429 and 45448.

How to find the GCF of 45429 and 45448?

We will first find the prime factorization of 45429 and 45448. After we will calculate the factors of 45429 and 45448 and find the biggest common factor number .

Step-1: Prime Factorization of 45429

Prime factors of 45429 are 3, 19, 797. Prime factorization of 45429 in exponential form is:

45429 = 3¹ × 19¹ × 797¹

Step-2: 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-3: Factors of 45429

List of positive integer factors of 45429 that divides 45429 without a remainder.

1, 3, 19, 57, 797, 2391, 15143

Step-4: Factors of 45448

List of positive integer factors of 45448 that divides 45429 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45429 and 45448. The biggest common factor number is the GCF number.
So the greatest common factor 45429 and 45448 is 19.

Also check out the Least Common Multiple of 45429 and 45448