What is the Greatest Common Factor of 39298 and 39305?

Greatest common factor (GCF) of 39298 and 39305 is 7.

GCF(39298,39305) = 7

We will now calculate the prime factors of 39298 and 39305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39298 and 39305.

How to find the GCF of 39298 and 39305?

We will first find the prime factorization of 39298 and 39305. After we will calculate the factors of 39298 and 39305 and find the biggest common factor number .

Step-1: Prime Factorization of 39298

Prime factors of 39298 are 2, 7, 401. Prime factorization of 39298 in exponential form is:

39298 = 2¹ × 7² × 401¹

Step-2: Prime Factorization of 39305

Prime factors of 39305 are 5, 7, 1123. Prime factorization of 39305 in exponential form is:

39305 = 5¹ × 7¹ × 1123¹

Step-3: Factors of 39298

List of positive integer factors of 39298 that divides 39298 without a remainder.

1, 2, 7, 14, 49, 98, 401, 802, 2807, 5614, 19649

Step-4: Factors of 39305

List of positive integer factors of 39305 that divides 39298 without a remainder.

1, 5, 7, 35, 1123, 5615, 7861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39298 and 39305. The biggest common factor number is the GCF number.
So the greatest common factor 39298 and 39305 is 7.

Also check out the Least Common Multiple of 39298 and 39305