What is the Greatest Common Factor of 79890 and 79910?

Greatest common factor (GCF) of 79890 and 79910 is 10.

GCF(79890,79910) = 10

We will now calculate the prime factors of 79890 and 79910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79890 and 79910.

How to find the GCF of 79890 and 79910?

We will first find the prime factorization of 79890 and 79910. After we will calculate the factors of 79890 and 79910 and find the biggest common factor number .

Step-1: Prime Factorization of 79890

Prime factors of 79890 are 2, 3, 5, 2663. Prime factorization of 79890 in exponential form is:

79890 = 2¹ × 3¹ × 5¹ × 2663¹

Step-2: Prime Factorization of 79910

Prime factors of 79910 are 2, 5, 61, 131. Prime factorization of 79910 in exponential form is:

79910 = 2¹ × 5¹ × 61¹ × 131¹

Step-3: Factors of 79890

List of positive integer factors of 79890 that divides 79890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2663, 5326, 7989, 13315, 15978, 26630, 39945

Step-4: Factors of 79910

List of positive integer factors of 79910 that divides 79890 without a remainder.

1, 2, 5, 10, 61, 122, 131, 262, 305, 610, 655, 1310, 7991, 15982, 39955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79890 and 79910. The biggest common factor number is the GCF number.
So the greatest common factor 79890 and 79910 is 10.

Also check out the Least Common Multiple of 79890 and 79910