What is the Greatest Common Factor of 59336 and 59356?

Greatest common factor (GCF) of 59336 and 59356 is 4.

GCF(59336,59356) = 4

We will now calculate the prime factors of 59336 and 59356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59336 and 59356.

How to find the GCF of 59336 and 59356?

We will first find the prime factorization of 59336 and 59356. After we will calculate the factors of 59336 and 59356 and find the biggest common factor number .

Step-1: Prime Factorization of 59336

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

59336 = 2³ × 7417¹

Step-2: Prime Factorization of 59356

Prime factors of 59356 are 2, 11, 19, 71. Prime factorization of 59356 in exponential form is:

59356 = 2² × 11¹ × 19¹ × 71¹

Step-3: Factors of 59336

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

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

Step-4: Factors of 59356

List of positive integer factors of 59356 that divides 59336 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 71, 76, 142, 209, 284, 418, 781, 836, 1349, 1562, 2698, 3124, 5396, 14839, 29678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59336 and 59356. The biggest common factor number is the GCF number.
So the greatest common factor 59336 and 59356 is 4.

Also check out the Least Common Multiple of 59336 and 59356