What is the Greatest Common Factor of 55272 and 55283?

Greatest common factor (GCF) of 55272 and 55283 is 1.

GCF(55272,55283) = 1

We will now calculate the prime factors of 55272 and 55283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55272 and 55283.

How to find the GCF of 55272 and 55283?

We will first find the prime factorization of 55272 and 55283. After we will calculate the factors of 55272 and 55283 and find the biggest common factor number .

Step-1: Prime Factorization of 55272

Prime factors of 55272 are 2, 3, 7, 47. Prime factorization of 55272 in exponential form is:

55272 = 2³ × 3¹ × 7² × 47¹

Step-2: Prime Factorization of 55283

Prime factors of 55283 are 59, 937. Prime factorization of 55283 in exponential form is:

55283 = 59¹ × 937¹

Step-3: Factors of 55272

List of positive integer factors of 55272 that divides 55272 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 49, 56, 84, 94, 98, 141, 147, 168, 188, 196, 282, 294, 329, 376, 392, 564, 588, 658, 987, 1128, 1176, 1316, 1974, 2303, 2632, 3948, 4606, 6909, 7896, 9212, 13818, 18424, 27636

Step-4: Factors of 55283

List of positive integer factors of 55283 that divides 55272 without a remainder.

1, 59, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55272 and 55283. The biggest common factor number is the GCF number.
So the greatest common factor 55272 and 55283 is 1.

Also check out the Least Common Multiple of 55272 and 55283