What is the Greatest Common Factor of 72442 and 72454?

Greatest common factor (GCF) of 72442 and 72454 is 2.

GCF(72442,72454) = 2

We will now calculate the prime factors of 72442 and 72454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72442 and 72454.

How to find the GCF of 72442 and 72454?

We will first find the prime factorization of 72442 and 72454. After we will calculate the factors of 72442 and 72454 and find the biggest common factor number .

Step-1: Prime Factorization of 72442

Prime factors of 72442 are 2, 29, 1249. Prime factorization of 72442 in exponential form is:

72442 = 2¹ × 29¹ × 1249¹

Step-2: Prime Factorization of 72454

Prime factors of 72454 are 2, 17, 2131. Prime factorization of 72454 in exponential form is:

72454 = 2¹ × 17¹ × 2131¹

Step-3: Factors of 72442

List of positive integer factors of 72442 that divides 72442 without a remainder.

1, 2, 29, 58, 1249, 2498, 36221

Step-4: Factors of 72454

List of positive integer factors of 72454 that divides 72442 without a remainder.

1, 2, 17, 34, 2131, 4262, 36227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72442 and 72454. The biggest common factor number is the GCF number.
So the greatest common factor 72442 and 72454 is 2.

Also check out the Least Common Multiple of 72442 and 72454