What is the Greatest Common Factor of 59363 and 59376?

Greatest common factor (GCF) of 59363 and 59376 is 1.

GCF(59363,59376) = 1

We will now calculate the prime factors of 59363 and 59376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59363 and 59376.

How to find the GCF of 59363 and 59376?

We will first find the prime factorization of 59363 and 59376. After we will calculate the factors of 59363 and 59376 and find the biggest common factor number .

Step-1: Prime Factorization of 59363

Prime factors of 59363 are 23, 29, 89. Prime factorization of 59363 in exponential form is:

59363 = 23¹ × 29¹ × 89¹

Step-2: Prime Factorization of 59376

Prime factors of 59376 are 2, 3, 1237. Prime factorization of 59376 in exponential form is:

59376 = 2⁴ × 3¹ × 1237¹

Step-3: Factors of 59363

List of positive integer factors of 59363 that divides 59363 without a remainder.

1, 23, 29, 89, 667, 2047, 2581

Step-4: Factors of 59376

List of positive integer factors of 59376 that divides 59363 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1237, 2474, 3711, 4948, 7422, 9896, 14844, 19792, 29688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59363 and 59376. The biggest common factor number is the GCF number.
So the greatest common factor 59363 and 59376 is 1.

Also check out the Least Common Multiple of 59363 and 59376