What is the Greatest Common Factor of 56007 and 56026?

Greatest common factor (GCF) of 56007 and 56026 is 1.

GCF(56007,56026) = 1

We will now calculate the prime factors of 56007 and 56026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56007 and 56026.

How to find the GCF of 56007 and 56026?

We will first find the prime factorization of 56007 and 56026. After we will calculate the factors of 56007 and 56026 and find the biggest common factor number .

Step-1: Prime Factorization of 56007

Prime factors of 56007 are 3, 7, 127. Prime factorization of 56007 in exponential form is:

56007 = 3² × 7² × 127¹

Step-2: Prime Factorization of 56026

Prime factors of 56026 are 2, 109, 257. Prime factorization of 56026 in exponential form is:

56026 = 2¹ × 109¹ × 257¹

Step-3: Factors of 56007

List of positive integer factors of 56007 that divides 56007 without a remainder.

1, 3, 7, 9, 21, 49, 63, 127, 147, 381, 441, 889, 1143, 2667, 6223, 8001, 18669

Step-4: Factors of 56026

List of positive integer factors of 56026 that divides 56007 without a remainder.

1, 2, 109, 218, 257, 514, 28013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56007 and 56026. The biggest common factor number is the GCF number.
So the greatest common factor 56007 and 56026 is 1.

Also check out the Least Common Multiple of 56007 and 56026