What is the Greatest Common Factor of 64428 and 64448?

Greatest common factor (GCF) of 64428 and 64448 is 4.

GCF(64428,64448) = 4

We will now calculate the prime factors of 64428 and 64448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64428 and 64448.

How to find the GCF of 64428 and 64448?

We will first find the prime factorization of 64428 and 64448. After we will calculate the factors of 64428 and 64448 and find the biggest common factor number .

Step-1: Prime Factorization of 64428

Prime factors of 64428 are 2, 3, 7, 13, 59. Prime factorization of 64428 in exponential form is:

64428 = 2² × 3¹ × 7¹ × 13¹ × 59¹

Step-2: Prime Factorization of 64448

Prime factors of 64448 are 2, 19, 53. Prime factorization of 64448 in exponential form is:

64448 = 2⁶ × 19¹ × 53¹

Step-3: Factors of 64428

List of positive integer factors of 64428 that divides 64428 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 59, 78, 84, 91, 118, 156, 177, 182, 236, 273, 354, 364, 413, 546, 708, 767, 826, 1092, 1239, 1534, 1652, 2301, 2478, 3068, 4602, 4956, 5369, 9204, 10738, 16107, 21476, 32214

Step-4: Factors of 64448

List of positive integer factors of 64448 that divides 64428 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 53, 64, 76, 106, 152, 212, 304, 424, 608, 848, 1007, 1216, 1696, 2014, 3392, 4028, 8056, 16112, 32224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64428 and 64448. The biggest common factor number is the GCF number.
So the greatest common factor 64428 and 64448 is 4.

Also check out the Least Common Multiple of 64428 and 64448