What is the Greatest Common Factor of 71874 and 71888?

Greatest common factor (GCF) of 71874 and 71888 is 2.

GCF(71874,71888) = 2

We will now calculate the prime factors of 71874 and 71888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71874 and 71888.

How to find the GCF of 71874 and 71888?

We will first find the prime factorization of 71874 and 71888. After we will calculate the factors of 71874 and 71888 and find the biggest common factor number .

Step-1: Prime Factorization of 71874

Prime factors of 71874 are 2, 3, 11. Prime factorization of 71874 in exponential form is:

71874 = 2¹ × 3³ × 11³

Step-2: Prime Factorization of 71888

Prime factors of 71888 are 2, 4493. Prime factorization of 71888 in exponential form is:

71888 = 2⁴ × 4493¹

Step-3: Factors of 71874

List of positive integer factors of 71874 that divides 71874 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 1331, 2178, 2662, 3267, 3993, 6534, 7986, 11979, 23958, 35937

Step-4: Factors of 71888

List of positive integer factors of 71888 that divides 71874 without a remainder.

1, 2, 4, 8, 16, 4493, 8986, 17972, 35944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71874 and 71888. The biggest common factor number is the GCF number.
So the greatest common factor 71874 and 71888 is 2.

Also check out the Least Common Multiple of 71874 and 71888