What is the Greatest Common Factor of 59340 and 59348?

Greatest common factor (GCF) of 59340 and 59348 is 4.

GCF(59340,59348) = 4

We will now calculate the prime factors of 59340 and 59348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59340 and 59348.

How to find the GCF of 59340 and 59348?

We will first find the prime factorization of 59340 and 59348. After we will calculate the factors of 59340 and 59348 and find the biggest common factor number .

Step-1: Prime Factorization of 59340

Prime factors of 59340 are 2, 3, 5, 23, 43. Prime factorization of 59340 in exponential form is:

59340 = 2² × 3¹ × 5¹ × 23¹ × 43¹

Step-2: Prime Factorization of 59348

Prime factors of 59348 are 2, 37, 401. Prime factorization of 59348 in exponential form is:

59348 = 2² × 37¹ × 401¹

Step-3: Factors of 59340

List of positive integer factors of 59340 that divides 59340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 43, 46, 60, 69, 86, 92, 115, 129, 138, 172, 215, 230, 258, 276, 345, 430, 460, 516, 645, 690, 860, 989, 1290, 1380, 1978, 2580, 2967, 3956, 4945, 5934, 9890, 11868, 14835, 19780, 29670

Step-4: Factors of 59348

List of positive integer factors of 59348 that divides 59340 without a remainder.

1, 2, 4, 37, 74, 148, 401, 802, 1604, 14837, 29674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59340 and 59348. The biggest common factor number is the GCF number.
So the greatest common factor 59340 and 59348 is 4.

Also check out the Least Common Multiple of 59340 and 59348