What is the Greatest Common Factor of 53694 and 53712?

Greatest common factor (GCF) of 53694 and 53712 is 18.

GCF(53694,53712) = 18

We will now calculate the prime factors of 53694 and 53712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53694 and 53712.

How to find the GCF of 53694 and 53712?

We will first find the prime factorization of 53694 and 53712. After we will calculate the factors of 53694 and 53712 and find the biggest common factor number .

Step-1: Prime Factorization of 53694

Prime factors of 53694 are 2, 3, 19, 157. Prime factorization of 53694 in exponential form is:

53694 = 2¹ × 3² × 19¹ × 157¹

Step-2: Prime Factorization of 53712

Prime factors of 53712 are 2, 3, 373. Prime factorization of 53712 in exponential form is:

53712 = 2⁴ × 3² × 373¹

Step-3: Factors of 53694

List of positive integer factors of 53694 that divides 53694 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 157, 171, 314, 342, 471, 942, 1413, 2826, 2983, 5966, 8949, 17898, 26847

Step-4: Factors of 53712

List of positive integer factors of 53712 that divides 53694 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 373, 746, 1119, 1492, 2238, 2984, 3357, 4476, 5968, 6714, 8952, 13428, 17904, 26856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53694 and 53712. The biggest common factor number is the GCF number.
So the greatest common factor 53694 and 53712 is 18.

Also check out the Least Common Multiple of 53694 and 53712