What is the Greatest Common Factor of 59507 and 59522?

Greatest common factor (GCF) of 59507 and 59522 is 1.

GCF(59507,59522) = 1

We will now calculate the prime factors of 59507 and 59522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59507 and 59522.

How to find the GCF of 59507 and 59522?

We will first find the prime factorization of 59507 and 59522. After we will calculate the factors of 59507 and 59522 and find the biggest common factor number .

Step-1: Prime Factorization of 59507

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

59507 = 7¹ × 8501¹

Step-2: Prime Factorization of 59522

Prime factors of 59522 are 2, 29761. Prime factorization of 59522 in exponential form is:

59522 = 2¹ × 29761¹

Step-3: Factors of 59507

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

1, 7, 8501

Step-4: Factors of 59522

List of positive integer factors of 59522 that divides 59507 without a remainder.

1, 2, 29761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59507 and 59522. The biggest common factor number is the GCF number.
So the greatest common factor 59507 and 59522 is 1.

Also check out the Least Common Multiple of 59507 and 59522