What is the Greatest Common Factor of 55498 and 55506?

Greatest common factor (GCF) of 55498 and 55506 is 2.

GCF(55498,55506) = 2

We will now calculate the prime factors of 55498 and 55506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55498 and 55506.

How to find the GCF of 55498 and 55506?

We will first find the prime factorization of 55498 and 55506. After we will calculate the factors of 55498 and 55506 and find the biggest common factor number .

Step-1: Prime Factorization of 55498

Prime factors of 55498 are 2, 27749. Prime factorization of 55498 in exponential form is:

55498 = 2¹ × 27749¹

Step-2: Prime Factorization of 55506

Prime factors of 55506 are 2, 3, 11, 29. Prime factorization of 55506 in exponential form is:

55506 = 2¹ × 3¹ × 11¹ × 29²

Step-3: Factors of 55498

List of positive integer factors of 55498 that divides 55498 without a remainder.

1, 2, 27749

Step-4: Factors of 55506

List of positive integer factors of 55506 that divides 55498 without a remainder.

1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 841, 957, 1682, 1914, 2523, 5046, 9251, 18502, 27753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55498 and 55506. The biggest common factor number is the GCF number.
So the greatest common factor 55498 and 55506 is 2.

Also check out the Least Common Multiple of 55498 and 55506