What is the Greatest Common Factor of 72892 and 72903?

Greatest common factor (GCF) of 72892 and 72903 is 1.

GCF(72892,72903) = 1

We will now calculate the prime factors of 72892 and 72903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72892 and 72903.

How to find the GCF of 72892 and 72903?

We will first find the prime factorization of 72892 and 72903. After we will calculate the factors of 72892 and 72903 and find the biggest common factor number .

Step-1: Prime Factorization of 72892

Prime factors of 72892 are 2, 18223. Prime factorization of 72892 in exponential form is:

72892 = 2² × 18223¹

Step-2: Prime Factorization of 72903

Prime factors of 72903 are 3, 19, 1279. Prime factorization of 72903 in exponential form is:

72903 = 3¹ × 19¹ × 1279¹

Step-3: Factors of 72892

List of positive integer factors of 72892 that divides 72892 without a remainder.

1, 2, 4, 18223, 36446

Step-4: Factors of 72903

List of positive integer factors of 72903 that divides 72892 without a remainder.

1, 3, 19, 57, 1279, 3837, 24301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72892 and 72903. The biggest common factor number is the GCF number.
So the greatest common factor 72892 and 72903 is 1.

Also check out the Least Common Multiple of 72892 and 72903