What is the Greatest Common Factor of 72098 and 72118?

Greatest common factor (GCF) of 72098 and 72118 is 2.

GCF(72098,72118) = 2

We will now calculate the prime factors of 72098 and 72118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72098 and 72118.

How to find the GCF of 72098 and 72118?

We will first find the prime factorization of 72098 and 72118. After we will calculate the factors of 72098 and 72118 and find the biggest common factor number .

Step-1: Prime Factorization of 72098

Prime factors of 72098 are 2, 13, 47, 59. Prime factorization of 72098 in exponential form is:

72098 = 2¹ × 13¹ × 47¹ × 59¹

Step-2: Prime Factorization of 72118

Prime factors of 72118 are 2, 107, 337. Prime factorization of 72118 in exponential form is:

72118 = 2¹ × 107¹ × 337¹

Step-3: Factors of 72098

List of positive integer factors of 72098 that divides 72098 without a remainder.

1, 2, 13, 26, 47, 59, 94, 118, 611, 767, 1222, 1534, 2773, 5546, 36049

Step-4: Factors of 72118

List of positive integer factors of 72118 that divides 72098 without a remainder.

1, 2, 107, 214, 337, 674, 36059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72098 and 72118. The biggest common factor number is the GCF number.
So the greatest common factor 72098 and 72118 is 2.

Also check out the Least Common Multiple of 72098 and 72118