What is the Greatest Common Factor of 59731 and 59738?

Greatest common factor (GCF) of 59731 and 59738 is 7.

GCF(59731,59738) = 7

We will now calculate the prime factors of 59731 and 59738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59731 and 59738.

How to find the GCF of 59731 and 59738?

We will first find the prime factorization of 59731 and 59738. After we will calculate the factors of 59731 and 59738 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 59738

Prime factors of 59738 are 2, 7, 17, 251. Prime factorization of 59738 in exponential form is:

59738 = 2¹ × 7¹ × 17¹ × 251¹

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 59738

List of positive integer factors of 59738 that divides 59731 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 251, 502, 1757, 3514, 4267, 8534, 29869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59731 and 59738. The biggest common factor number is the GCF number.
So the greatest common factor 59731 and 59738 is 7.

Also check out the Least Common Multiple of 59731 and 59738