What is the Greatest Common Factor of 72094 and 72098?

Greatest common factor (GCF) of 72094 and 72098 is 2.

GCF(72094,72098) = 2

We will now calculate the prime factors of 72094 and 72098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72094 and 72098.

How to find the GCF of 72094 and 72098?

We will first find the prime factorization of 72094 and 72098. After we will calculate the factors of 72094 and 72098 and find the biggest common factor number .

Step-1: Prime Factorization of 72094

Prime factors of 72094 are 2, 11, 29, 113. Prime factorization of 72094 in exponential form is:

72094 = 2¹ × 11¹ × 29¹ × 113¹

Step-2: 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-3: Factors of 72094

List of positive integer factors of 72094 that divides 72094 without a remainder.

1, 2, 11, 22, 29, 58, 113, 226, 319, 638, 1243, 2486, 3277, 6554, 36047

Step-4: Factors of 72098

List of positive integer factors of 72098 that divides 72094 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72094 and 72098. The biggest common factor number is the GCF number.
So the greatest common factor 72094 and 72098 is 2.

Also check out the Least Common Multiple of 72094 and 72098