What is the Greatest Common Factor of 65436 and 65448?

Greatest common factor (GCF) of 65436 and 65448 is 12.

GCF(65436,65448) = 12

We will now calculate the prime factors of 65436 and 65448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65436 and 65448.

How to find the GCF of 65436 and 65448?

We will first find the prime factorization of 65436 and 65448. After we will calculate the factors of 65436 and 65448 and find the biggest common factor number .

Step-1: Prime Factorization of 65436

Prime factors of 65436 are 2, 3, 7, 19, 41. Prime factorization of 65436 in exponential form is:

65436 = 2² × 3¹ × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 65448

Prime factors of 65448 are 2, 3, 101. Prime factorization of 65448 in exponential form is:

65448 = 2³ × 3⁴ × 101¹

Step-3: Factors of 65436

List of positive integer factors of 65436 that divides 65436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 41, 42, 57, 76, 82, 84, 114, 123, 133, 164, 228, 246, 266, 287, 399, 492, 532, 574, 779, 798, 861, 1148, 1558, 1596, 1722, 2337, 3116, 3444, 4674, 5453, 9348, 10906, 16359, 21812, 32718

Step-4: Factors of 65448

List of positive integer factors of 65448 that divides 65436 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 101, 108, 162, 202, 216, 303, 324, 404, 606, 648, 808, 909, 1212, 1818, 2424, 2727, 3636, 5454, 7272, 8181, 10908, 16362, 21816, 32724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65436 and 65448. The biggest common factor number is the GCF number.
So the greatest common factor 65436 and 65448 is 12.

Also check out the Least Common Multiple of 65436 and 65448