What is the Greatest Common Factor of 72494 and 72503?

Greatest common factor (GCF) of 72494 and 72503 is 1.

GCF(72494,72503) = 1

We will now calculate the prime factors of 72494 and 72503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72494 and 72503.

How to find the GCF of 72494 and 72503?

We will first find the prime factorization of 72494 and 72503. After we will calculate the factors of 72494 and 72503 and find the biggest common factor number .

Step-1: Prime Factorization of 72494

Prime factors of 72494 are 2, 67, 541. Prime factorization of 72494 in exponential form is:

72494 = 2¹ × 67¹ × 541¹

Step-2: Prime Factorization of 72503

Prime factors of 72503 are 72503. Prime factorization of 72503 in exponential form is:

72503 = 72503¹

Step-3: Factors of 72494

List of positive integer factors of 72494 that divides 72494 without a remainder.

1, 2, 67, 134, 541, 1082, 36247

Step-4: Factors of 72503

List of positive integer factors of 72503 that divides 72494 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72494 and 72503. The biggest common factor number is the GCF number.
So the greatest common factor 72494 and 72503 is 1.

Also check out the Least Common Multiple of 72494 and 72503