What is the Greatest Common Factor of 11844 and 11864?

Greatest common factor (GCF) of 11844 and 11864 is 4.

GCF(11844,11864) = 4

We will now calculate the prime factors of 11844 and 11864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11844 and 11864.

How to find the GCF of 11844 and 11864?

We will first find the prime factorization of 11844 and 11864. After we will calculate the factors of 11844 and 11864 and find the biggest common factor number .

Step-1: Prime Factorization of 11844

Prime factors of 11844 are 2, 3, 7, 47. Prime factorization of 11844 in exponential form is:

11844 = 2² × 3² × 7¹ × 47¹

Step-2: Prime Factorization of 11864

Prime factors of 11864 are 2, 1483. Prime factorization of 11864 in exponential form is:

11864 = 2³ × 1483¹

Step-3: Factors of 11844

List of positive integer factors of 11844 that divides 11844 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 63, 84, 94, 126, 141, 188, 252, 282, 329, 423, 564, 658, 846, 987, 1316, 1692, 1974, 2961, 3948, 5922

Step-4: Factors of 11864

List of positive integer factors of 11864 that divides 11844 without a remainder.

1, 2, 4, 8, 1483, 2966, 5932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11844 and 11864. The biggest common factor number is the GCF number.
So the greatest common factor 11844 and 11864 is 4.

Also check out the Least Common Multiple of 11844 and 11864