What is the Greatest Common Factor of 79732 and 79748?

Greatest common factor (GCF) of 79732 and 79748 is 4.

GCF(79732,79748) = 4

We will now calculate the prime factors of 79732 and 79748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79732 and 79748.

How to find the GCF of 79732 and 79748?

We will first find the prime factorization of 79732 and 79748. After we will calculate the factors of 79732 and 79748 and find the biggest common factor number .

Step-1: Prime Factorization of 79732

Prime factors of 79732 are 2, 31, 643. Prime factorization of 79732 in exponential form is:

79732 = 2² × 31¹ × 643¹

Step-2: Prime Factorization of 79748

Prime factors of 79748 are 2, 19937. Prime factorization of 79748 in exponential form is:

79748 = 2² × 19937¹

Step-3: Factors of 79732

List of positive integer factors of 79732 that divides 79732 without a remainder.

1, 2, 4, 31, 62, 124, 643, 1286, 2572, 19933, 39866

Step-4: Factors of 79748

List of positive integer factors of 79748 that divides 79732 without a remainder.

1, 2, 4, 19937, 39874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79732 and 79748. The biggest common factor number is the GCF number.
So the greatest common factor 79732 and 79748 is 4.

Also check out the Least Common Multiple of 79732 and 79748