What is the Greatest Common Factor of 55616 and 55634?

Greatest common factor (GCF) of 55616 and 55634 is 2.

GCF(55616,55634) = 2

We will now calculate the prime factors of 55616 and 55634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55616 and 55634.

How to find the GCF of 55616 and 55634?

We will first find the prime factorization of 55616 and 55634. After we will calculate the factors of 55616 and 55634 and find the biggest common factor number .

Step-1: Prime Factorization of 55616

Prime factors of 55616 are 2, 11, 79. Prime factorization of 55616 in exponential form is:

55616 = 2⁶ × 11¹ × 79¹

Step-2: Prime Factorization of 55634

Prime factors of 55634 are 2, 27817. Prime factorization of 55634 in exponential form is:

55634 = 2¹ × 27817¹

Step-3: Factors of 55616

List of positive integer factors of 55616 that divides 55616 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 79, 88, 158, 176, 316, 352, 632, 704, 869, 1264, 1738, 2528, 3476, 5056, 6952, 13904, 27808

Step-4: Factors of 55634

List of positive integer factors of 55634 that divides 55616 without a remainder.

1, 2, 27817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55616 and 55634. The biggest common factor number is the GCF number.
So the greatest common factor 55616 and 55634 is 2.

Also check out the Least Common Multiple of 55616 and 55634