What is the Greatest Common Factor of 59924 and 59943?

Greatest common factor (GCF) of 59924 and 59943 is 1.

GCF(59924,59943) = 1

We will now calculate the prime factors of 59924 and 59943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59924 and 59943.

How to find the GCF of 59924 and 59943?

We will first find the prime factorization of 59924 and 59943. After we will calculate the factors of 59924 and 59943 and find the biggest common factor number .

Step-1: Prime Factorization of 59924

Prime factors of 59924 are 2, 71, 211. Prime factorization of 59924 in exponential form is:

59924 = 2² × 71¹ × 211¹

Step-2: Prime Factorization of 59943

Prime factors of 59943 are 3, 13, 29, 53. Prime factorization of 59943 in exponential form is:

59943 = 3¹ × 13¹ × 29¹ × 53¹

Step-3: Factors of 59924

List of positive integer factors of 59924 that divides 59924 without a remainder.

1, 2, 4, 71, 142, 211, 284, 422, 844, 14981, 29962

Step-4: Factors of 59943

List of positive integer factors of 59943 that divides 59924 without a remainder.

1, 3, 13, 29, 39, 53, 87, 159, 377, 689, 1131, 1537, 2067, 4611, 19981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59924 and 59943. The biggest common factor number is the GCF number.
So the greatest common factor 59924 and 59943 is 1.

Also check out the Least Common Multiple of 59924 and 59943