What is the Greatest Common Factor of 59310 and 59325?

Greatest common factor (GCF) of 59310 and 59325 is 15.

GCF(59310,59325) = 15

We will now calculate the prime factors of 59310 and 59325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59310 and 59325.

How to find the GCF of 59310 and 59325?

We will first find the prime factorization of 59310 and 59325. After we will calculate the factors of 59310 and 59325 and find the biggest common factor number .

Step-1: Prime Factorization of 59310

Prime factors of 59310 are 2, 3, 5, 659. Prime factorization of 59310 in exponential form is:

59310 = 2¹ × 3² × 5¹ × 659¹

Step-2: 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-3: Factors of 59310

List of positive integer factors of 59310 that divides 59310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 659, 1318, 1977, 3295, 3954, 5931, 6590, 9885, 11862, 19770, 29655

Step-4: Factors of 59325

List of positive integer factors of 59325 that divides 59310 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59310 and 59325. The biggest common factor number is the GCF number.
So the greatest common factor 59310 and 59325 is 15.

Also check out the Least Common Multiple of 59310 and 59325