What is the Greatest Common Factor of 11067 and 11074?

Greatest common factor (GCF) of 11067 and 11074 is 7.

GCF(11067,11074) = 7

We will now calculate the prime factors of 11067 and 11074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11067 and 11074.

How to find the GCF of 11067 and 11074?

We will first find the prime factorization of 11067 and 11074. After we will calculate the factors of 11067 and 11074 and find the biggest common factor number .

Step-1: Prime Factorization of 11067

Prime factors of 11067 are 3, 7, 17, 31. Prime factorization of 11067 in exponential form is:

11067 = 3¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 11074

Prime factors of 11074 are 2, 7, 113. Prime factorization of 11074 in exponential form is:

11074 = 2¹ × 7² × 113¹

Step-3: Factors of 11067

List of positive integer factors of 11067 that divides 11067 without a remainder.

1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689

Step-4: Factors of 11074

List of positive integer factors of 11074 that divides 11067 without a remainder.

1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11067 and 11074. The biggest common factor number is the GCF number.
So the greatest common factor 11067 and 11074 is 7.

Also check out the Least Common Multiple of 11067 and 11074