What is the Greatest Common Factor of 79648 and 79664?

Greatest common factor (GCF) of 79648 and 79664 is 16.

GCF(79648,79664) = 16

We will now calculate the prime factors of 79648 and 79664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79648 and 79664.

How to find the GCF of 79648 and 79664?

We will first find the prime factorization of 79648 and 79664. After we will calculate the factors of 79648 and 79664 and find the biggest common factor number .

Step-1: Prime Factorization of 79648

Prime factors of 79648 are 2, 19, 131. Prime factorization of 79648 in exponential form is:

79648 = 2⁵ × 19¹ × 131¹

Step-2: Prime Factorization of 79664

Prime factors of 79664 are 2, 13, 383. Prime factorization of 79664 in exponential form is:

79664 = 2⁴ × 13¹ × 383¹

Step-3: Factors of 79648

List of positive integer factors of 79648 that divides 79648 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 131, 152, 262, 304, 524, 608, 1048, 2096, 2489, 4192, 4978, 9956, 19912, 39824

Step-4: Factors of 79664

List of positive integer factors of 79664 that divides 79648 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 383, 766, 1532, 3064, 4979, 6128, 9958, 19916, 39832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79648 and 79664. The biggest common factor number is the GCF number.
So the greatest common factor 79648 and 79664 is 16.

Also check out the Least Common Multiple of 79648 and 79664