What is the Greatest Common Factor of 4795 and 4802?

Greatest common factor (GCF) of 4795 and 4802 is 7.

GCF(4795,4802) = 7

We will now calculate the prime factors of 4795 and 4802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4795 and 4802.

How to find the GCF of 4795 and 4802?

We will first find the prime factorization of 4795 and 4802. After we will calculate the factors of 4795 and 4802 and find the biggest common factor number .

Step-1: Prime Factorization of 4795

Prime factors of 4795 are 5, 7, 137. Prime factorization of 4795 in exponential form is:

4795 = 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 4802

Prime factors of 4802 are 2, 7. Prime factorization of 4802 in exponential form is:

4802 = 2¹ × 7⁴

Step-3: Factors of 4795

List of positive integer factors of 4795 that divides 4795 without a remainder.

1, 5, 7, 35, 137, 685, 959

Step-4: Factors of 4802

List of positive integer factors of 4802 that divides 4795 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686, 2401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4795 and 4802. The biggest common factor number is the GCF number.
So the greatest common factor 4795 and 4802 is 7.

Also check out the Least Common Multiple of 4795 and 4802