What is the Greatest Common Factor of 59549 and 59553?

Greatest common factor (GCF) of 59549 and 59553 is 1.

GCF(59549,59553) = 1

We will now calculate the prime factors of 59549 and 59553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59549 and 59553.

How to find the GCF of 59549 and 59553?

We will first find the prime factorization of 59549 and 59553. After we will calculate the factors of 59549 and 59553 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 59553

Prime factors of 59553 are 3, 13, 509. Prime factorization of 59553 in exponential form is:

59553 = 3² × 13¹ × 509¹

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 59553

List of positive integer factors of 59553 that divides 59549 without a remainder.

1, 3, 9, 13, 39, 117, 509, 1527, 4581, 6617, 19851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59549 and 59553. The biggest common factor number is the GCF number.
So the greatest common factor 59549 and 59553 is 1.

Also check out the Least Common Multiple of 59549 and 59553