What is the Greatest Common Factor of 72392 and 72402?

Greatest common factor (GCF) of 72392 and 72402 is 2.

GCF(72392,72402) = 2

We will now calculate the prime factors of 72392 and 72402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72392 and 72402.

How to find the GCF of 72392 and 72402?

We will first find the prime factorization of 72392 and 72402. After we will calculate the factors of 72392 and 72402 and find the biggest common factor number .

Step-1: Prime Factorization of 72392

Prime factors of 72392 are 2, 9049. Prime factorization of 72392 in exponential form is:

72392 = 2³ × 9049¹

Step-2: Prime Factorization of 72402

Prime factors of 72402 are 2, 3, 11, 1097. Prime factorization of 72402 in exponential form is:

72402 = 2¹ × 3¹ × 11¹ × 1097¹

Step-3: Factors of 72392

List of positive integer factors of 72392 that divides 72392 without a remainder.

1, 2, 4, 8, 9049, 18098, 36196

Step-4: Factors of 72402

List of positive integer factors of 72402 that divides 72392 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1097, 2194, 3291, 6582, 12067, 24134, 36201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72392 and 72402. The biggest common factor number is the GCF number.
So the greatest common factor 72392 and 72402 is 2.

Also check out the Least Common Multiple of 72392 and 72402