What is the Greatest Common Factor of 56067 and 56078?

Greatest common factor (GCF) of 56067 and 56078 is 11.

GCF(56067,56078) = 11

We will now calculate the prime factors of 56067 and 56078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56067 and 56078.

How to find the GCF of 56067 and 56078?

We will first find the prime factorization of 56067 and 56078. After we will calculate the factors of 56067 and 56078 and find the biggest common factor number .

Step-1: Prime Factorization of 56067

Prime factors of 56067 are 3, 11, 1699. Prime factorization of 56067 in exponential form is:

56067 = 3¹ × 11¹ × 1699¹

Step-2: Prime Factorization of 56078

Prime factors of 56078 are 2, 11, 2549. Prime factorization of 56078 in exponential form is:

56078 = 2¹ × 11¹ × 2549¹

Step-3: Factors of 56067

List of positive integer factors of 56067 that divides 56067 without a remainder.

1, 3, 11, 33, 1699, 5097, 18689

Step-4: Factors of 56078

List of positive integer factors of 56078 that divides 56067 without a remainder.

1, 2, 11, 22, 2549, 5098, 28039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56067 and 56078. The biggest common factor number is the GCF number.
So the greatest common factor 56067 and 56078 is 11.

Also check out the Least Common Multiple of 56067 and 56078