What is the Greatest Common Factor of 72692 and 72696?

Greatest common factor (GCF) of 72692 and 72696 is 4.

GCF(72692,72696) = 4

We will now calculate the prime factors of 72692 and 72696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72692 and 72696.

How to find the GCF of 72692 and 72696?

We will first find the prime factorization of 72692 and 72696. After we will calculate the factors of 72692 and 72696 and find the biggest common factor number .

Step-1: Prime Factorization of 72692

Prime factors of 72692 are 2, 17, 1069. Prime factorization of 72692 in exponential form is:

72692 = 2² × 17¹ × 1069¹

Step-2: Prime Factorization of 72696

Prime factors of 72696 are 2, 3, 13, 233. Prime factorization of 72696 in exponential form is:

72696 = 2³ × 3¹ × 13¹ × 233¹

Step-3: Factors of 72692

List of positive integer factors of 72692 that divides 72692 without a remainder.

1, 2, 4, 17, 34, 68, 1069, 2138, 4276, 18173, 36346

Step-4: Factors of 72696

List of positive integer factors of 72696 that divides 72692 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 233, 312, 466, 699, 932, 1398, 1864, 2796, 3029, 5592, 6058, 9087, 12116, 18174, 24232, 36348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72692 and 72696. The biggest common factor number is the GCF number.
So the greatest common factor 72692 and 72696 is 4.

Also check out the Least Common Multiple of 72692 and 72696