What is the Greatest Common Factor of 72908 and 72919?

Greatest common factor (GCF) of 72908 and 72919 is 11.

GCF(72908,72919) = 11

We will now calculate the prime factors of 72908 and 72919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72908 and 72919.

How to find the GCF of 72908 and 72919?

We will first find the prime factorization of 72908 and 72919. After we will calculate the factors of 72908 and 72919 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 72919

Prime factors of 72919 are 7, 11, 947. Prime factorization of 72919 in exponential form is:

72919 = 7¹ × 11¹ × 947¹

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 72919

List of positive integer factors of 72919 that divides 72908 without a remainder.

1, 7, 11, 77, 947, 6629, 10417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72908 and 72919. The biggest common factor number is the GCF number.
So the greatest common factor 72908 and 72919 is 11.

Also check out the Least Common Multiple of 72908 and 72919