What is the Greatest Common Factor of 72908 and 72918?

Greatest common factor (GCF) of 72908 and 72918 is 2.

GCF(72908,72918) = 2

We will now calculate the prime factors of 72908 and 72918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72908 and 72918.

How to find the GCF of 72908 and 72918?

We will first find the prime factorization of 72908 and 72918. After we will calculate the factors of 72908 and 72918 and find the biggest common factor number .

Step-1: Prime Factorization of 72908

Prime factors of 72908 are 2, 11, 1657. Prime factorization of 72908 in exponential form is:

72908 = 2² × 11¹ × 1657¹

Step-2: Prime Factorization of 72918

Prime factors of 72918 are 2, 3, 4051. Prime factorization of 72918 in exponential form is:

72918 = 2¹ × 3² × 4051¹

Step-3: Factors of 72908

List of positive integer factors of 72908 that divides 72908 without a remainder.

1, 2, 4, 11, 22, 44, 1657, 3314, 6628, 18227, 36454

Step-4: Factors of 72918

List of positive integer factors of 72918 that divides 72908 without a remainder.

1, 2, 3, 6, 9, 18, 4051, 8102, 12153, 24306, 36459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72908 and 72918. The biggest common factor number is the GCF number.
So the greatest common factor 72908 and 72918 is 2.

Also check out the Least Common Multiple of 72908 and 72918