What is the Greatest Common Factor of 55102 and 55106?

Greatest common factor (GCF) of 55102 and 55106 is 2.

GCF(55102,55106) = 2

We will now calculate the prime factors of 55102 and 55106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55102 and 55106.

How to find the GCF of 55102 and 55106?

We will first find the prime factorization of 55102 and 55106. After we will calculate the factors of 55102 and 55106 and find the biggest common factor number .

Step-1: Prime Factorization of 55102

Prime factors of 55102 are 2, 27551. Prime factorization of 55102 in exponential form is:

55102 = 2¹ × 27551¹

Step-2: Prime Factorization of 55106

Prime factors of 55106 are 2, 59, 467. Prime factorization of 55106 in exponential form is:

55106 = 2¹ × 59¹ × 467¹

Step-3: Factors of 55102

List of positive integer factors of 55102 that divides 55102 without a remainder.

1, 2, 27551

Step-4: Factors of 55106

List of positive integer factors of 55106 that divides 55102 without a remainder.

1, 2, 59, 118, 467, 934, 27553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55102 and 55106. The biggest common factor number is the GCF number.
So the greatest common factor 55102 and 55106 is 2.

Also check out the Least Common Multiple of 55102 and 55106