What is the Greatest Common Factor of 55496 and 55510?

Greatest common factor (GCF) of 55496 and 55510 is 14.

GCF(55496,55510) = 14

We will now calculate the prime factors of 55496 and 55510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55496 and 55510.

How to find the GCF of 55496 and 55510?

We will first find the prime factorization of 55496 and 55510. After we will calculate the factors of 55496 and 55510 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 55510

Prime factors of 55510 are 2, 5, 7, 13, 61. Prime factorization of 55510 in exponential form is:

55510 = 2¹ × 5¹ × 7¹ × 13¹ × 61¹

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 55510

List of positive integer factors of 55510 that divides 55496 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 61, 65, 70, 91, 122, 130, 182, 305, 427, 455, 610, 793, 854, 910, 1586, 2135, 3965, 4270, 5551, 7930, 11102, 27755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55496 and 55510. The biggest common factor number is the GCF number.
So the greatest common factor 55496 and 55510 is 14.

Also check out the Least Common Multiple of 55496 and 55510