What is the Greatest Common Factor of 55062 and 55076?

Greatest common factor (GCF) of 55062 and 55076 is 14.

GCF(55062,55076) = 14

We will now calculate the prime factors of 55062 and 55076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55062 and 55076.

How to find the GCF of 55062 and 55076?

We will first find the prime factorization of 55062 and 55076. After we will calculate the factors of 55062 and 55076 and find the biggest common factor number .

Step-1: Prime Factorization of 55062

Prime factors of 55062 are 2, 3, 7, 19, 23. Prime factorization of 55062 in exponential form is:

55062 = 2¹ × 3² × 7¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 55062

List of positive integer factors of 55062 that divides 55062 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 23, 38, 42, 46, 57, 63, 69, 114, 126, 133, 138, 161, 171, 207, 266, 322, 342, 399, 414, 437, 483, 798, 874, 966, 1197, 1311, 1449, 2394, 2622, 2898, 3059, 3933, 6118, 7866, 9177, 18354, 27531

Step-4: Factors of 55076

List of positive integer factors of 55076 that divides 55062 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55062 and 55076. The biggest common factor number is the GCF number.
So the greatest common factor 55062 and 55076 is 14.

Also check out the Least Common Multiple of 55062 and 55076