What is the Greatest Common Factor of 55614 and 55624?

Greatest common factor (GCF) of 55614 and 55624 is 2.

GCF(55614,55624) = 2

We will now calculate the prime factors of 55614 and 55624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55614 and 55624.

How to find the GCF of 55614 and 55624?

We will first find the prime factorization of 55614 and 55624. After we will calculate the factors of 55614 and 55624 and find the biggest common factor number .

Step-1: Prime Factorization of 55614

Prime factors of 55614 are 2, 3, 13, 23, 31. Prime factorization of 55614 in exponential form is:

55614 = 2¹ × 3¹ × 13¹ × 23¹ × 31¹

Step-2: Prime Factorization of 55624

Prime factors of 55624 are 2, 17, 409. Prime factorization of 55624 in exponential form is:

55624 = 2³ × 17¹ × 409¹

Step-3: Factors of 55614

List of positive integer factors of 55614 that divides 55614 without a remainder.

1, 2, 3, 6, 13, 23, 26, 31, 39, 46, 62, 69, 78, 93, 138, 186, 299, 403, 598, 713, 806, 897, 1209, 1426, 1794, 2139, 2418, 4278, 9269, 18538, 27807

Step-4: Factors of 55624

List of positive integer factors of 55624 that divides 55614 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 409, 818, 1636, 3272, 6953, 13906, 27812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55614 and 55624. The biggest common factor number is the GCF number.
So the greatest common factor 55614 and 55624 is 2.

Also check out the Least Common Multiple of 55614 and 55624