What is the Greatest Common Factor of 59340 and 59354?

Greatest common factor (GCF) of 59340 and 59354 is 2.

GCF(59340,59354) = 2

We will now calculate the prime factors of 59340 and 59354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59340 and 59354.

How to find the GCF of 59340 and 59354?

We will first find the prime factorization of 59340 and 59354. After we will calculate the factors of 59340 and 59354 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 59354

Prime factors of 59354 are 2, 59, 503. Prime factorization of 59354 in exponential form is:

59354 = 2¹ × 59¹ × 503¹

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 59354

List of positive integer factors of 59354 that divides 59340 without a remainder.

1, 2, 59, 118, 503, 1006, 29677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59340 and 59354. The biggest common factor number is the GCF number.
So the greatest common factor 59340 and 59354 is 2.

Also check out the Least Common Multiple of 59340 and 59354