What is the Greatest Common Factor of 79840 and 79852?

Greatest common factor (GCF) of 79840 and 79852 is 4.

GCF(79840,79852) = 4

We will now calculate the prime factors of 79840 and 79852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79840 and 79852.

How to find the GCF of 79840 and 79852?

We will first find the prime factorization of 79840 and 79852. After we will calculate the factors of 79840 and 79852 and find the biggest common factor number .

Step-1: Prime Factorization of 79840

Prime factors of 79840 are 2, 5, 499. Prime factorization of 79840 in exponential form is:

79840 = 2⁵ × 5¹ × 499¹

Step-2: Prime Factorization of 79852

Prime factors of 79852 are 2, 19963. Prime factorization of 79852 in exponential form is:

79852 = 2² × 19963¹

Step-3: Factors of 79840

List of positive integer factors of 79840 that divides 79840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 499, 998, 1996, 2495, 3992, 4990, 7984, 9980, 15968, 19960, 39920

Step-4: Factors of 79852

List of positive integer factors of 79852 that divides 79840 without a remainder.

1, 2, 4, 19963, 39926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79840 and 79852. The biggest common factor number is the GCF number.
So the greatest common factor 79840 and 79852 is 4.

Also check out the Least Common Multiple of 79840 and 79852