What is the Greatest Common Factor of 59731 and 59737?

Greatest common factor (GCF) of 59731 and 59737 is 1.

GCF(59731,59737) = 1

We will now calculate the prime factors of 59731 and 59737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59731 and 59737.

How to find the GCF of 59731 and 59737?

We will first find the prime factorization of 59731 and 59737. After we will calculate the factors of 59731 and 59737 and find the biggest common factor number .

Step-1: Prime Factorization of 59731

Prime factors of 59731 are 7, 23, 53. Prime factorization of 59731 in exponential form is:

59731 = 7² × 23¹ × 53¹

Step-2: Prime Factorization of 59737

Prime factors of 59737 are 31, 41, 47. Prime factorization of 59737 in exponential form is:

59737 = 31¹ × 41¹ × 47¹

Step-3: Factors of 59731

List of positive integer factors of 59731 that divides 59731 without a remainder.

1, 7, 23, 49, 53, 161, 371, 1127, 1219, 2597, 8533

Step-4: Factors of 59737

List of positive integer factors of 59737 that divides 59731 without a remainder.

1, 31, 41, 47, 1271, 1457, 1927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59731 and 59737. The biggest common factor number is the GCF number.
So the greatest common factor 59731 and 59737 is 1.

Also check out the Least Common Multiple of 59731 and 59737