What is the Greatest Common Factor of 59549 and 59563?

Greatest common factor (GCF) of 59549 and 59563 is 7.

GCF(59549,59563) = 7

We will now calculate the prime factors of 59549 and 59563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59549 and 59563.

How to find the GCF of 59549 and 59563?

We will first find the prime factorization of 59549 and 59563. After we will calculate the factors of 59549 and 59563 and find the biggest common factor number .

Step-1: Prime Factorization of 59549

Prime factors of 59549 are 7, 47, 181. Prime factorization of 59549 in exponential form is:

59549 = 7¹ × 47¹ × 181¹

Step-2: Prime Factorization of 59563

Prime factors of 59563 are 7, 67, 127. Prime factorization of 59563 in exponential form is:

59563 = 7¹ × 67¹ × 127¹

Step-3: Factors of 59549

List of positive integer factors of 59549 that divides 59549 without a remainder.

1, 7, 47, 181, 329, 1267, 8507

Step-4: Factors of 59563

List of positive integer factors of 59563 that divides 59549 without a remainder.

1, 7, 67, 127, 469, 889, 8509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59549 and 59563. The biggest common factor number is the GCF number.
So the greatest common factor 59549 and 59563 is 7.

Also check out the Least Common Multiple of 59549 and 59563