What is the Greatest Common Factor of 59325 and 59336?

Greatest common factor (GCF) of 59325 and 59336 is 1.

GCF(59325,59336) = 1

We will now calculate the prime factors of 59325 and 59336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59325 and 59336.

How to find the GCF of 59325 and 59336?

We will first find the prime factorization of 59325 and 59336. After we will calculate the factors of 59325 and 59336 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 59336

Prime factors of 59336 are 2, 7417. Prime factorization of 59336 in exponential form is:

59336 = 2³ × 7417¹

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 59336

List of positive integer factors of 59336 that divides 59325 without a remainder.

1, 2, 4, 8, 7417, 14834, 29668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59325 and 59336. The biggest common factor number is the GCF number.
So the greatest common factor 59325 and 59336 is 1.

Also check out the Least Common Multiple of 59325 and 59336