What is the Greatest Common Factor of 56445 and 56454?

Greatest common factor (GCF) of 56445 and 56454 is 3.

GCF(56445,56454) = 3

We will now calculate the prime factors of 56445 and 56454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56445 and 56454.

How to find the GCF of 56445 and 56454?

We will first find the prime factorization of 56445 and 56454. After we will calculate the factors of 56445 and 56454 and find the biggest common factor number .

Step-1: Prime Factorization of 56445

Prime factors of 56445 are 3, 5, 53, 71. Prime factorization of 56445 in exponential form is:

56445 = 3¹ × 5¹ × 53¹ × 71¹

Step-2: Prime Factorization of 56454

Prime factors of 56454 are 2, 3, 97. Prime factorization of 56454 in exponential form is:

56454 = 2¹ × 3¹ × 97²

Step-3: Factors of 56445

List of positive integer factors of 56445 that divides 56445 without a remainder.

1, 3, 5, 15, 53, 71, 159, 213, 265, 355, 795, 1065, 3763, 11289, 18815

Step-4: Factors of 56454

List of positive integer factors of 56454 that divides 56445 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582, 9409, 18818, 28227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56445 and 56454. The biggest common factor number is the GCF number.
So the greatest common factor 56445 and 56454 is 3.

Also check out the Least Common Multiple of 56445 and 56454