What is the Greatest Common Factor of 55496 and 55507?

Greatest common factor (GCF) of 55496 and 55507 is 1.

GCF(55496,55507) = 1

We will now calculate the prime factors of 55496 and 55507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55496 and 55507.

How to find the GCF of 55496 and 55507?

We will first find the prime factorization of 55496 and 55507. After we will calculate the factors of 55496 and 55507 and find the biggest common factor number .

Step-1: Prime Factorization of 55496

Prime factors of 55496 are 2, 7, 991. Prime factorization of 55496 in exponential form is:

55496 = 2³ × 7¹ × 991¹

Step-2: Prime Factorization of 55507

Prime factors of 55507 are 47, 1181. Prime factorization of 55507 in exponential form is:

55507 = 47¹ × 1181¹

Step-3: Factors of 55496

List of positive integer factors of 55496 that divides 55496 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 991, 1982, 3964, 6937, 7928, 13874, 27748

Step-4: Factors of 55507

List of positive integer factors of 55507 that divides 55496 without a remainder.

1, 47, 1181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55496 and 55507. The biggest common factor number is the GCF number.
So the greatest common factor 55496 and 55507 is 1.

Also check out the Least Common Multiple of 55496 and 55507