What is the Greatest Common Factor of 59843 and 59857?

Greatest common factor (GCF) of 59843 and 59857 is 7.

GCF(59843,59857) = 7

We will now calculate the prime factors of 59843 and 59857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59843 and 59857.

How to find the GCF of 59843 and 59857?

We will first find the prime factorization of 59843 and 59857. After we will calculate the factors of 59843 and 59857 and find the biggest common factor number .

Step-1: Prime Factorization of 59843

Prime factors of 59843 are 7, 83, 103. Prime factorization of 59843 in exponential form is:

59843 = 7¹ × 83¹ × 103¹

Step-2: Prime Factorization of 59857

Prime factors of 59857 are 7, 17, 503. Prime factorization of 59857 in exponential form is:

59857 = 7¹ × 17¹ × 503¹

Step-3: Factors of 59843

List of positive integer factors of 59843 that divides 59843 without a remainder.

1, 7, 83, 103, 581, 721, 8549

Step-4: Factors of 59857

List of positive integer factors of 59857 that divides 59843 without a remainder.

1, 7, 17, 119, 503, 3521, 8551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59843 and 59857. The biggest common factor number is the GCF number.
So the greatest common factor 59843 and 59857 is 7.

Also check out the Least Common Multiple of 59843 and 59857