What is the Greatest Common Factor of 45435 and 45448?

Greatest common factor (GCF) of 45435 and 45448 is 13.

GCF(45435,45448) = 13

We will now calculate the prime factors of 45435 and 45448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45435 and 45448.

How to find the GCF of 45435 and 45448?

We will first find the prime factorization of 45435 and 45448. After we will calculate the factors of 45435 and 45448 and find the biggest common factor number .

Step-1: Prime Factorization of 45435

Prime factors of 45435 are 3, 5, 13, 233. Prime factorization of 45435 in exponential form is:

45435 = 3¹ × 5¹ × 13¹ × 233¹

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 45435

List of positive integer factors of 45435 that divides 45435 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 233, 699, 1165, 3029, 3495, 9087, 15145

Step-4: Factors of 45448

List of positive integer factors of 45448 that divides 45435 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 45435 and 45448. The biggest common factor number is the GCF number.
So the greatest common factor 45435 and 45448 is 13.

Also check out the Least Common Multiple of 45435 and 45448