What is the Greatest Common Factor of 74442 and 74449?

Greatest common factor (GCF) of 74442 and 74449 is 1.

GCF(74442,74449) = 1

We will now calculate the prime factors of 74442 and 74449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74442 and 74449.

How to find the GCF of 74442 and 74449?

We will first find the prime factorization of 74442 and 74449. After we will calculate the factors of 74442 and 74449 and find the biggest common factor number .

Step-1: Prime Factorization of 74442

Prime factors of 74442 are 2, 3, 19, 653. Prime factorization of 74442 in exponential form is:

74442 = 2¹ × 3¹ × 19¹ × 653¹

Step-2: Prime Factorization of 74449

Prime factors of 74449 are 74449. Prime factorization of 74449 in exponential form is:

74449 = 74449¹

Step-3: Factors of 74442

List of positive integer factors of 74442 that divides 74442 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 653, 1306, 1959, 3918, 12407, 24814, 37221

Step-4: Factors of 74449

List of positive integer factors of 74449 that divides 74442 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74442 and 74449. The biggest common factor number is the GCF number.
So the greatest common factor 74442 and 74449 is 1.

Also check out the Least Common Multiple of 74442 and 74449