What is the Greatest Common Factor of 59725 and 59738?

Greatest common factor (GCF) of 59725 and 59738 is 1.

GCF(59725,59738) = 1

We will now calculate the prime factors of 59725 and 59738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59725 and 59738.

How to find the GCF of 59725 and 59738?

We will first find the prime factorization of 59725 and 59738. After we will calculate the factors of 59725 and 59738 and find the biggest common factor number .

Step-1: Prime Factorization of 59725

Prime factors of 59725 are 5, 2389. Prime factorization of 59725 in exponential form is:

59725 = 5² × 2389¹

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 59725

List of positive integer factors of 59725 that divides 59725 without a remainder.

1, 5, 25, 2389, 11945

Step-4: Factors of 59738

List of positive integer factors of 59738 that divides 59725 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 59725 and 59738. The biggest common factor number is the GCF number.
So the greatest common factor 59725 and 59738 is 1.

Also check out the Least Common Multiple of 59725 and 59738