What is the Greatest Common Factor of 53784 and 53802?

Greatest common factor (GCF) of 53784 and 53802 is 18.

GCF(53784,53802) = 18

We will now calculate the prime factors of 53784 and 53802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53784 and 53802.

How to find the GCF of 53784 and 53802?

We will first find the prime factorization of 53784 and 53802. After we will calculate the factors of 53784 and 53802 and find the biggest common factor number .

Step-1: Prime Factorization of 53784

Prime factors of 53784 are 2, 3, 83. Prime factorization of 53784 in exponential form is:

53784 = 2³ × 3⁴ × 83¹

Step-2: 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-3: Factors of 53784

List of positive integer factors of 53784 that divides 53784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 83, 108, 162, 166, 216, 249, 324, 332, 498, 648, 664, 747, 996, 1494, 1992, 2241, 2988, 4482, 5976, 6723, 8964, 13446, 17928, 26892

Step-4: Factors of 53802

List of positive integer factors of 53802 that divides 53784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53784 and 53802. The biggest common factor number is the GCF number.
So the greatest common factor 53784 and 53802 is 18.

Also check out the Least Common Multiple of 53784 and 53802