What is the Greatest Common Factor of 55265 and 55272?

Greatest common factor (GCF) of 55265 and 55272 is 7.

GCF(55265,55272) = 7

We will now calculate the prime factors of 55265 and 55272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55265 and 55272.

How to find the GCF of 55265 and 55272?

We will first find the prime factorization of 55265 and 55272. After we will calculate the factors of 55265 and 55272 and find the biggest common factor number .

Step-1: Prime Factorization of 55265

Prime factors of 55265 are 5, 7, 1579. Prime factorization of 55265 in exponential form is:

55265 = 5¹ × 7¹ × 1579¹

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 55265

List of positive integer factors of 55265 that divides 55265 without a remainder.

1, 5, 7, 35, 1579, 7895, 11053

Step-4: Factors of 55272

List of positive integer factors of 55272 that divides 55265 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 55265 and 55272. The biggest common factor number is the GCF number.
So the greatest common factor 55265 and 55272 is 7.

Also check out the Least Common Multiple of 55265 and 55272