What is the Greatest Common Factor of 59489 and 59507?

Greatest common factor (GCF) of 59489 and 59507 is 1.

GCF(59489,59507) = 1

We will now calculate the prime factors of 59489 and 59507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59489 and 59507.

How to find the GCF of 59489 and 59507?

We will first find the prime factorization of 59489 and 59507. After we will calculate the factors of 59489 and 59507 and find the biggest common factor number .

Step-1: Prime Factorization of 59489

Prime factors of 59489 are 19, 31, 101. Prime factorization of 59489 in exponential form is:

59489 = 19¹ × 31¹ × 101¹

Step-2: Prime Factorization of 59507

Prime factors of 59507 are 7, 8501. Prime factorization of 59507 in exponential form is:

59507 = 7¹ × 8501¹

Step-3: Factors of 59489

List of positive integer factors of 59489 that divides 59489 without a remainder.

1, 19, 31, 101, 589, 1919, 3131

Step-4: Factors of 59507

List of positive integer factors of 59507 that divides 59489 without a remainder.

1, 7, 8501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59489 and 59507. The biggest common factor number is the GCF number.
So the greatest common factor 59489 and 59507 is 1.

Also check out the Least Common Multiple of 59489 and 59507