What is the Greatest Common Factor of 55076 and 55083?

Greatest common factor (GCF) of 55076 and 55083 is 7.

GCF(55076,55083) = 7

We will now calculate the prime factors of 55076 and 55083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55076 and 55083.

How to find the GCF of 55076 and 55083?

We will first find the prime factorization of 55076 and 55083. After we will calculate the factors of 55076 and 55083 and find the biggest common factor number .

Step-1: Prime Factorization of 55076

Prime factors of 55076 are 2, 7, 281. Prime factorization of 55076 in exponential form is:

55076 = 2² × 7² × 281¹

Step-2: Prime Factorization of 55083

Prime factors of 55083 are 3, 7, 43, 61. Prime factorization of 55083 in exponential form is:

55083 = 3¹ × 7¹ × 43¹ × 61¹

Step-3: Factors of 55076

List of positive integer factors of 55076 that divides 55076 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 281, 562, 1124, 1967, 3934, 7868, 13769, 27538

Step-4: Factors of 55083

List of positive integer factors of 55083 that divides 55076 without a remainder.

1, 3, 7, 21, 43, 61, 129, 183, 301, 427, 903, 1281, 2623, 7869, 18361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55076 and 55083. The biggest common factor number is the GCF number.
So the greatest common factor 55076 and 55083 is 7.

Also check out the Least Common Multiple of 55076 and 55083