What is the Greatest Common Factor of 5492 and 5507?

Greatest common factor (GCF) of 5492 and 5507 is 1.

GCF(5492,5507) = 1

We will now calculate the prime factors of 5492 and 5507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5492 and 5507.

How to find the GCF of 5492 and 5507?

We will first find the prime factorization of 5492 and 5507. After we will calculate the factors of 5492 and 5507 and find the biggest common factor number .

Step-1: Prime Factorization of 5492

Prime factors of 5492 are 2, 1373. Prime factorization of 5492 in exponential form is:

5492 = 2² × 1373¹

Step-2: Prime Factorization of 5507

Prime factors of 5507 are 5507. Prime factorization of 5507 in exponential form is:

5507 = 5507¹

Step-3: Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1, 2, 4, 1373, 2746

Step-4: Factors of 5507

List of positive integer factors of 5507 that divides 5492 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5492 and 5507. The biggest common factor number is the GCF number.
So the greatest common factor 5492 and 5507 is 1.

Also check out the Least Common Multiple of 5492 and 5507