What is the Greatest Common Factor of 64832 and 64848?

Greatest common factor (GCF) of 64832 and 64848 is 16.

GCF(64832,64848) = 16

We will now calculate the prime factors of 64832 and 64848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64832 and 64848.

How to find the GCF of 64832 and 64848?

We will first find the prime factorization of 64832 and 64848. After we will calculate the factors of 64832 and 64848 and find the biggest common factor number .

Step-1: Prime Factorization of 64832

Prime factors of 64832 are 2, 1013. Prime factorization of 64832 in exponential form is:

64832 = 2⁶ × 1013¹

Step-2: Prime Factorization of 64848

Prime factors of 64848 are 2, 3, 7, 193. Prime factorization of 64848 in exponential form is:

64848 = 2⁴ × 3¹ × 7¹ × 193¹

Step-3: Factors of 64832

List of positive integer factors of 64832 that divides 64832 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1013, 2026, 4052, 8104, 16208, 32416

Step-4: Factors of 64848

List of positive integer factors of 64848 that divides 64832 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 193, 336, 386, 579, 772, 1158, 1351, 1544, 2316, 2702, 3088, 4053, 4632, 5404, 8106, 9264, 10808, 16212, 21616, 32424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64832 and 64848. The biggest common factor number is the GCF number.
So the greatest common factor 64832 and 64848 is 16.

Also check out the Least Common Multiple of 64832 and 64848