What is the Greatest Common Factor of 5537 and 5551?

Greatest common factor (GCF) of 5537 and 5551 is 7.

GCF(5537,5551) = 7

We will now calculate the prime factors of 5537 and 5551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5537 and 5551.

How to find the GCF of 5537 and 5551?

We will first find the prime factorization of 5537 and 5551. After we will calculate the factors of 5537 and 5551 and find the biggest common factor number .

Step-1: Prime Factorization of 5537

Prime factors of 5537 are 7, 113. Prime factorization of 5537 in exponential form is:

5537 = 7² × 113¹

Step-2: Prime Factorization of 5551

Prime factors of 5551 are 7, 13, 61. Prime factorization of 5551 in exponential form is:

5551 = 7¹ × 13¹ × 61¹

Step-3: Factors of 5537

List of positive integer factors of 5537 that divides 5537 without a remainder.

1, 7, 49, 113, 791

Step-4: Factors of 5551

List of positive integer factors of 5551 that divides 5537 without a remainder.

1, 7, 13, 61, 91, 427, 793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5537 and 5551. The biggest common factor number is the GCF number.
So the greatest common factor 5537 and 5551 is 7.

Also check out the Least Common Multiple of 5537 and 5551