What is the Greatest Common Factor of 23501 and 23507?

Greatest common factor (GCF) of 23501 and 23507 is 1.

GCF(23501,23507) = 1

We will now calculate the prime factors of 23501 and 23507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23501 and 23507.

How to find the GCF of 23501 and 23507?

We will first find the prime factorization of 23501 and 23507. After we will calculate the factors of 23501 and 23507 and find the biggest common factor number .

Step-1: Prime Factorization of 23501

Prime factors of 23501 are 71, 331. Prime factorization of 23501 in exponential form is:

23501 = 71¹ × 331¹

Step-2: Prime Factorization of 23507

Prime factors of 23507 are 11, 2137. Prime factorization of 23507 in exponential form is:

23507 = 11¹ × 2137¹

Step-3: Factors of 23501

List of positive integer factors of 23501 that divides 23501 without a remainder.

1, 71, 331

Step-4: Factors of 23507

List of positive integer factors of 23507 that divides 23501 without a remainder.

1, 11, 2137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23501 and 23507. The biggest common factor number is the GCF number.
So the greatest common factor 23501 and 23507 is 1.

Also check out the Least Common Multiple of 23501 and 23507