What is the Greatest Common Factor of 55264 and 55272?

Greatest common factor (GCF) of 55264 and 55272 is 8.

GCF(55264,55272) = 8

We will now calculate the prime factors of 55264 and 55272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55264 and 55272.

How to find the GCF of 55264 and 55272?

We will first find the prime factorization of 55264 and 55272. After we will calculate the factors of 55264 and 55272 and find the biggest common factor number .

Step-1: Prime Factorization of 55264

Prime factors of 55264 are 2, 11, 157. Prime factorization of 55264 in exponential form is:

55264 = 2⁵ × 11¹ × 157¹

Step-2: 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-3: Factors of 55264

List of positive integer factors of 55264 that divides 55264 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 157, 176, 314, 352, 628, 1256, 1727, 2512, 3454, 5024, 6908, 13816, 27632

Step-4: Factors of 55272

List of positive integer factors of 55272 that divides 55264 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55264 and 55272. The biggest common factor number is the GCF number.
So the greatest common factor 55264 and 55272 is 8.

Also check out the Least Common Multiple of 55264 and 55272