What is the Greatest Common Factor of 79648 and 79654?

Greatest common factor (GCF) of 79648 and 79654 is 2.

GCF(79648,79654) = 2

We will now calculate the prime factors of 79648 and 79654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79648 and 79654.

How to find the GCF of 79648 and 79654?

We will first find the prime factorization of 79648 and 79654. After we will calculate the factors of 79648 and 79654 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 79654

Prime factors of 79654 are 2, 39827. Prime factorization of 79654 in exponential form is:

79654 = 2¹ × 39827¹

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 79654

List of positive integer factors of 79654 that divides 79648 without a remainder.

1, 2, 39827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79648 and 79654. The biggest common factor number is the GCF number.
So the greatest common factor 79648 and 79654 is 2.

Also check out the Least Common Multiple of 79648 and 79654