What is the Greatest Common Factor of 56448 and 56455?

Greatest common factor (GCF) of 56448 and 56455 is 7.

GCF(56448,56455) = 7

We will now calculate the prime factors of 56448 and 56455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56448 and 56455.

How to find the GCF of 56448 and 56455?

We will first find the prime factorization of 56448 and 56455. After we will calculate the factors of 56448 and 56455 and find the biggest common factor number .

Step-1: Prime Factorization of 56448

Prime factors of 56448 are 2, 3, 7. Prime factorization of 56448 in exponential form is:

56448 = 2⁷ × 3² × 7²

Step-2: Prime Factorization of 56455

Prime factors of 56455 are 5, 7, 1613. Prime factorization of 56455 in exponential form is:

56455 = 5¹ × 7¹ × 1613¹

Step-3: Factors of 56448

List of positive integer factors of 56448 that divides 56448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 64, 72, 84, 96, 98, 112, 126, 128, 144, 147, 168, 192, 196, 224, 252, 288, 294, 336, 384, 392, 441, 448, 504, 576, 588, 672, 784, 882, 896, 1008, 1152, 1176, 1344, 1568, 1764, 2016, 2352, 2688, 3136, 3528, 4032, 4704, 6272, 7056, 8064, 9408, 14112, 18816, 28224

Step-4: Factors of 56455

List of positive integer factors of 56455 that divides 56448 without a remainder.

1, 5, 7, 35, 1613, 8065, 11291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56448 and 56455. The biggest common factor number is the GCF number.
So the greatest common factor 56448 and 56455 is 7.

Also check out the Least Common Multiple of 56448 and 56455