What is the Greatest Common Factor of 53664 and 53682?

Greatest common factor (GCF) of 53664 and 53682 is 6.

GCF(53664,53682) = 6

We will now calculate the prime factors of 53664 and 53682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53664 and 53682.

How to find the GCF of 53664 and 53682?

We will first find the prime factorization of 53664 and 53682. After we will calculate the factors of 53664 and 53682 and find the biggest common factor number .

Step-1: Prime Factorization of 53664

Prime factors of 53664 are 2, 3, 13, 43. Prime factorization of 53664 in exponential form is:

53664 = 2⁵ × 3¹ × 13¹ × 43¹

Step-2: Prime Factorization of 53682

Prime factors of 53682 are 2, 3, 23, 389. Prime factorization of 53682 in exponential form is:

53682 = 2¹ × 3¹ × 23¹ × 389¹

Step-3: Factors of 53664

List of positive integer factors of 53664 that divides 53664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 43, 48, 52, 78, 86, 96, 104, 129, 156, 172, 208, 258, 312, 344, 416, 516, 559, 624, 688, 1032, 1118, 1248, 1376, 1677, 2064, 2236, 3354, 4128, 4472, 6708, 8944, 13416, 17888, 26832

Step-4: Factors of 53682

List of positive integer factors of 53682 that divides 53664 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 389, 778, 1167, 2334, 8947, 17894, 26841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53664 and 53682. The biggest common factor number is the GCF number.
So the greatest common factor 53664 and 53682 is 6.

Also check out the Least Common Multiple of 53664 and 53682