What is the Greatest Common Factor of 10591 and 10607?

Greatest common factor (GCF) of 10591 and 10607 is 1.

GCF(10591,10607) = 1

We will now calculate the prime factors of 10591 and 10607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10591 and 10607.

How to find the GCF of 10591 and 10607?

We will first find the prime factorization of 10591 and 10607. After we will calculate the factors of 10591 and 10607 and find the biggest common factor number .

Step-1: Prime Factorization of 10591

Prime factors of 10591 are 7, 17, 89. Prime factorization of 10591 in exponential form is:

10591 = 7¹ × 17¹ × 89¹

Step-2: Prime Factorization of 10607

Prime factors of 10607 are 10607. Prime factorization of 10607 in exponential form is:

10607 = 10607¹

Step-3: Factors of 10591

List of positive integer factors of 10591 that divides 10591 without a remainder.

1, 7, 17, 89, 119, 623, 1513

Step-4: Factors of 10607

List of positive integer factors of 10607 that divides 10591 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10591 and 10607. The biggest common factor number is the GCF number.
So the greatest common factor 10591 and 10607 is 1.

Also check out the Least Common Multiple of 10591 and 10607