What is the Greatest Common Factor of 59461 and 59477?

Greatest common factor (GCF) of 59461 and 59477 is 1.

GCF(59461,59477) = 1

We will now calculate the prime factors of 59461 and 59477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59461 and 59477.

How to find the GCF of 59461 and 59477?

We will first find the prime factorization of 59461 and 59477. After we will calculate the factors of 59461 and 59477 and find the biggest common factor number .

Step-1: Prime Factorization of 59461

Prime factors of 59461 are 97, 613. Prime factorization of 59461 in exponential form is:

59461 = 97¹ × 613¹

Step-2: Prime Factorization of 59477

Prime factors of 59477 are 11, 5407. Prime factorization of 59477 in exponential form is:

59477 = 11¹ × 5407¹

Step-3: Factors of 59461

List of positive integer factors of 59461 that divides 59461 without a remainder.

1, 97, 613

Step-4: Factors of 59477

List of positive integer factors of 59477 that divides 59461 without a remainder.

1, 11, 5407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59461 and 59477. The biggest common factor number is the GCF number.
So the greatest common factor 59461 and 59477 is 1.

Also check out the Least Common Multiple of 59461 and 59477