What is the Greatest Common Factor of 5372 and 5387?

Greatest common factor (GCF) of 5372 and 5387 is 1.

GCF(5372,5387) = 1

We will now calculate the prime factors of 5372 and 5387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5372 and 5387.

How to find the GCF of 5372 and 5387?

We will first find the prime factorization of 5372 and 5387. After we will calculate the factors of 5372 and 5387 and find the biggest common factor number .

Step-1: Prime Factorization of 5372

Prime factors of 5372 are 2, 17, 79. Prime factorization of 5372 in exponential form is:

5372 = 2² × 17¹ × 79¹

Step-2: Prime Factorization of 5387

Prime factors of 5387 are 5387. Prime factorization of 5387 in exponential form is:

5387 = 5387¹

Step-3: Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686

Step-4: Factors of 5387

List of positive integer factors of 5387 that divides 5372 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5372 and 5387. The biggest common factor number is the GCF number.
So the greatest common factor 5372 and 5387 is 1.

Also check out the Least Common Multiple of 5372 and 5387