What is the Greatest Common Factor of 53802 and 53816?

Greatest common factor (GCF) of 53802 and 53816 is 14.

GCF(53802,53816) = 14

We will now calculate the prime factors of 53802 and 53816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53802 and 53816.

How to find the GCF of 53802 and 53816?

We will first find the prime factorization of 53802 and 53816. After we will calculate the factors of 53802 and 53816 and find the biggest common factor number .

Step-1: Prime Factorization of 53802

Prime factors of 53802 are 2, 3, 7, 61. Prime factorization of 53802 in exponential form is:

53802 = 2¹ × 3² × 7² × 61¹

Step-2: Prime Factorization of 53816

Prime factors of 53816 are 2, 7, 31. Prime factorization of 53816 in exponential form is:

53816 = 2³ × 7¹ × 31²

Step-3: Factors of 53802

List of positive integer factors of 53802 that divides 53802 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 61, 63, 98, 122, 126, 147, 183, 294, 366, 427, 441, 549, 854, 882, 1098, 1281, 2562, 2989, 3843, 5978, 7686, 8967, 17934, 26901

Step-4: Factors of 53816

List of positive integer factors of 53816 that divides 53802 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 961, 1736, 1922, 3844, 6727, 7688, 13454, 26908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53802 and 53816. The biggest common factor number is the GCF number.
So the greatest common factor 53802 and 53816 is 14.

Also check out the Least Common Multiple of 53802 and 53816