What is the Greatest Common Factor of 55272 and 55279?

Greatest common factor (GCF) of 55272 and 55279 is 7.

GCF(55272,55279) = 7

We will now calculate the prime factors of 55272 and 55279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55272 and 55279.

How to find the GCF of 55272 and 55279?

We will first find the prime factorization of 55272 and 55279. After we will calculate the factors of 55272 and 55279 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 55279

Prime factors of 55279 are 7, 53, 149. Prime factorization of 55279 in exponential form is:

55279 = 7¹ × 53¹ × 149¹

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 55279

List of positive integer factors of 55279 that divides 55272 without a remainder.

1, 7, 53, 149, 371, 1043, 7897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55272 and 55279. The biggest common factor number is the GCF number.
So the greatest common factor 55272 and 55279 is 7.

Also check out the Least Common Multiple of 55272 and 55279