What is the Greatest Common Factor of 51612 and 51616?

Greatest common factor (GCF) of 51612 and 51616 is 4.

GCF(51612,51616) = 4

We will now calculate the prime factors of 51612 and 51616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51612 and 51616.

How to find the GCF of 51612 and 51616?

We will first find the prime factorization of 51612 and 51616. After we will calculate the factors of 51612 and 51616 and find the biggest common factor number .

Step-1: Prime Factorization of 51612

Prime factors of 51612 are 2, 3, 11, 17, 23. Prime factorization of 51612 in exponential form is:

51612 = 2² × 3¹ × 11¹ × 17¹ × 23¹

Step-2: Prime Factorization of 51616

Prime factors of 51616 are 2, 1613. Prime factorization of 51616 in exponential form is:

51616 = 2⁵ × 1613¹

Step-3: Factors of 51612

List of positive integer factors of 51612 that divides 51612 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 23, 33, 34, 44, 46, 51, 66, 68, 69, 92, 102, 132, 138, 187, 204, 253, 276, 374, 391, 506, 561, 748, 759, 782, 1012, 1122, 1173, 1518, 1564, 2244, 2346, 3036, 4301, 4692, 8602, 12903, 17204, 25806

Step-4: Factors of 51616

List of positive integer factors of 51616 that divides 51612 without a remainder.

1, 2, 4, 8, 16, 32, 1613, 3226, 6452, 12904, 25808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51612 and 51616. The biggest common factor number is the GCF number.
So the greatest common factor 51612 and 51616 is 4.

Also check out the Least Common Multiple of 51612 and 51616