What is the Greatest Common Factor of 72892 and 72905?

Greatest common factor (GCF) of 72892 and 72905 is 1.

GCF(72892,72905) = 1

We will now calculate the prime factors of 72892 and 72905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72892 and 72905.

How to find the GCF of 72892 and 72905?

We will first find the prime factorization of 72892 and 72905. After we will calculate the factors of 72892 and 72905 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 72905

Prime factors of 72905 are 5, 7, 2083. Prime factorization of 72905 in exponential form is:

72905 = 5¹ × 7¹ × 2083¹

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 72905

List of positive integer factors of 72905 that divides 72892 without a remainder.

1, 5, 7, 35, 2083, 10415, 14581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72892 and 72905. The biggest common factor number is the GCF number.
So the greatest common factor 72892 and 72905 is 1.

Also check out the Least Common Multiple of 72892 and 72905