What is the Greatest Common Factor of 7890 and 7900?

Greatest common factor (GCF) of 7890 and 7900 is 10.

GCF(7890,7900) = 10

We will now calculate the prime factors of 7890 and 7900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7890 and 7900.

How to find the GCF of 7890 and 7900?

We will first find the prime factorization of 7890 and 7900. After we will calculate the factors of 7890 and 7900 and find the biggest common factor number .

Step-1: Prime Factorization of 7890

Prime factors of 7890 are 2, 3, 5, 263. Prime factorization of 7890 in exponential form is:

7890 = 2¹ × 3¹ × 5¹ × 263¹

Step-2: Prime Factorization of 7900

Prime factors of 7900 are 2, 5, 79. Prime factorization of 7900 in exponential form is:

7900 = 2² × 5² × 79¹

Step-3: Factors of 7890

List of positive integer factors of 7890 that divides 7890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945

Step-4: Factors of 7900

List of positive integer factors of 7900 that divides 7890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7890 and 7900. The biggest common factor number is the GCF number.
So the greatest common factor 7890 and 7900 is 10.

Also check out the Least Common Multiple of 7890 and 7900