What is the Greatest Common Factor of 55048 and 55062?

Greatest common factor (GCF) of 55048 and 55062 is 14.

GCF(55048,55062) = 14

We will now calculate the prime factors of 55048 and 55062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55048 and 55062.

How to find the GCF of 55048 and 55062?

We will first find the prime factorization of 55048 and 55062. After we will calculate the factors of 55048 and 55062 and find the biggest common factor number .

Step-1: Prime Factorization of 55048

Prime factors of 55048 are 2, 7, 983. Prime factorization of 55048 in exponential form is:

55048 = 2³ × 7¹ × 983¹

Step-2: 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-3: Factors of 55048

List of positive integer factors of 55048 that divides 55048 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 983, 1966, 3932, 6881, 7864, 13762, 27524

Step-4: Factors of 55062

List of positive integer factors of 55062 that divides 55048 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55048 and 55062. The biggest common factor number is the GCF number.
So the greatest common factor 55048 and 55062 is 14.

Also check out the Least Common Multiple of 55048 and 55062