What is the Greatest Common Factor of 72884 and 72892?

Greatest common factor (GCF) of 72884 and 72892 is 4.

GCF(72884,72892) = 4

We will now calculate the prime factors of 72884 and 72892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72884 and 72892.

How to find the GCF of 72884 and 72892?

We will first find the prime factorization of 72884 and 72892. After we will calculate the factors of 72884 and 72892 and find the biggest common factor number .

Step-1: Prime Factorization of 72884

Prime factors of 72884 are 2, 7, 19, 137. Prime factorization of 72884 in exponential form is:

72884 = 2² × 7¹ × 19¹ × 137¹

Step-2: Prime Factorization of 72892

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

72892 = 2² × 18223¹

Step-3: Factors of 72884

List of positive integer factors of 72884 that divides 72884 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 137, 266, 274, 532, 548, 959, 1918, 2603, 3836, 5206, 10412, 18221, 36442

Step-4: Factors of 72892

List of positive integer factors of 72892 that divides 72884 without a remainder.

1, 2, 4, 18223, 36446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72884 and 72892. The biggest common factor number is the GCF number.
So the greatest common factor 72884 and 72892 is 4.

Also check out the Least Common Multiple of 72884 and 72892