What is the Greatest Common Factor of 72683 and 72696?

Greatest common factor (GCF) of 72683 and 72696 is 13.

GCF(72683,72696) = 13

We will now calculate the prime factors of 72683 and 72696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72683 and 72696.

How to find the GCF of 72683 and 72696?

We will first find the prime factorization of 72683 and 72696. After we will calculate the factors of 72683 and 72696 and find the biggest common factor number .

Step-1: Prime Factorization of 72683

Prime factors of 72683 are 13, 5591. Prime factorization of 72683 in exponential form is:

72683 = 13¹ × 5591¹

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 72683

List of positive integer factors of 72683 that divides 72683 without a remainder.

1, 13, 5591

Step-4: Factors of 72696

List of positive integer factors of 72696 that divides 72683 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 72683 and 72696. The biggest common factor number is the GCF number.
So the greatest common factor 72683 and 72696 is 13.

Also check out the Least Common Multiple of 72683 and 72696