What is the Greatest Common Factor of 55596 and 55616?

Greatest common factor (GCF) of 55596 and 55616 is 4.

GCF(55596,55616) = 4

We will now calculate the prime factors of 55596 and 55616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55596 and 55616.

How to find the GCF of 55596 and 55616?

We will first find the prime factorization of 55596 and 55616. After we will calculate the factors of 55596 and 55616 and find the biggest common factor number .

Step-1: Prime Factorization of 55596

Prime factors of 55596 are 2, 3, 41, 113. Prime factorization of 55596 in exponential form is:

55596 = 2² × 3¹ × 41¹ × 113¹

Step-2: 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-3: Factors of 55596

List of positive integer factors of 55596 that divides 55596 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 113, 123, 164, 226, 246, 339, 452, 492, 678, 1356, 4633, 9266, 13899, 18532, 27798

Step-4: Factors of 55616

List of positive integer factors of 55616 that divides 55596 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55596 and 55616. The biggest common factor number is the GCF number.
So the greatest common factor 55596 and 55616 is 4.

Also check out the Least Common Multiple of 55596 and 55616