What is the Greatest Common Factor of 59325 and 59342?

Greatest common factor (GCF) of 59325 and 59342 is 1.

GCF(59325,59342) = 1

We will now calculate the prime factors of 59325 and 59342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59325 and 59342.

How to find the GCF of 59325 and 59342?

We will first find the prime factorization of 59325 and 59342. After we will calculate the factors of 59325 and 59342 and find the biggest common factor number .

Step-1: Prime Factorization of 59325

Prime factors of 59325 are 3, 5, 7, 113. Prime factorization of 59325 in exponential form is:

59325 = 3¹ × 5² × 7¹ × 113¹

Step-2: Prime Factorization of 59342

Prime factors of 59342 are 2, 29671. Prime factorization of 59342 in exponential form is:

59342 = 2¹ × 29671¹

Step-3: Factors of 59325

List of positive integer factors of 59325 that divides 59325 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 113, 175, 339, 525, 565, 791, 1695, 2373, 2825, 3955, 8475, 11865, 19775

Step-4: Factors of 59342

List of positive integer factors of 59342 that divides 59325 without a remainder.

1, 2, 29671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59325 and 59342. The biggest common factor number is the GCF number.
So the greatest common factor 59325 and 59342 is 1.

Also check out the Least Common Multiple of 59325 and 59342