What is the Greatest Common Factor of 55874 and 55888?

Greatest common factor (GCF) of 55874 and 55888 is 14.

GCF(55874,55888) = 14

We will now calculate the prime factors of 55874 and 55888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55874 and 55888.

How to find the GCF of 55874 and 55888?

We will first find the prime factorization of 55874 and 55888. After we will calculate the factors of 55874 and 55888 and find the biggest common factor number .

Step-1: Prime Factorization of 55874

Prime factors of 55874 are 2, 7, 13, 307. Prime factorization of 55874 in exponential form is:

55874 = 2¹ × 7¹ × 13¹ × 307¹

Step-2: Prime Factorization of 55888

Prime factors of 55888 are 2, 7, 499. Prime factorization of 55888 in exponential form is:

55888 = 2⁴ × 7¹ × 499¹

Step-3: Factors of 55874

List of positive integer factors of 55874 that divides 55874 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 307, 614, 2149, 3991, 4298, 7982, 27937

Step-4: Factors of 55888

List of positive integer factors of 55888 that divides 55874 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 499, 998, 1996, 3493, 3992, 6986, 7984, 13972, 27944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55874 and 55888. The biggest common factor number is the GCF number.
So the greatest common factor 55874 and 55888 is 14.

Also check out the Least Common Multiple of 55874 and 55888