What is the Greatest Common Factor of 11732 and 11742?

Greatest common factor (GCF) of 11732 and 11742 is 2.

GCF(11732,11742) = 2

We will now calculate the prime factors of 11732 and 11742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11732 and 11742.

How to find the GCF of 11732 and 11742?

We will first find the prime factorization of 11732 and 11742. After we will calculate the factors of 11732 and 11742 and find the biggest common factor number .

Step-1: Prime Factorization of 11732

Prime factors of 11732 are 2, 7, 419. Prime factorization of 11732 in exponential form is:

11732 = 2² × 7¹ × 419¹

Step-2: Prime Factorization of 11742

Prime factors of 11742 are 2, 3, 19, 103. Prime factorization of 11742 in exponential form is:

11742 = 2¹ × 3¹ × 19¹ × 103¹

Step-3: Factors of 11732

List of positive integer factors of 11732 that divides 11732 without a remainder.

1, 2, 4, 7, 14, 28, 419, 838, 1676, 2933, 5866

Step-4: Factors of 11742

List of positive integer factors of 11742 that divides 11732 without a remainder.

1, 2, 3, 6, 19, 38, 57, 103, 114, 206, 309, 618, 1957, 3914, 5871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11732 and 11742. The biggest common factor number is the GCF number.
So the greatest common factor 11732 and 11742 is 2.

Also check out the Least Common Multiple of 11732 and 11742