What is the Greatest Common Factor of 74442 and 74446?

Greatest common factor (GCF) of 74442 and 74446 is 2.

GCF(74442,74446) = 2

We will now calculate the prime factors of 74442 and 74446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74442 and 74446.

How to find the GCF of 74442 and 74446?

We will first find the prime factorization of 74442 and 74446. After we will calculate the factors of 74442 and 74446 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 74446

Prime factors of 74446 are 2, 37223. Prime factorization of 74446 in exponential form is:

74446 = 2¹ × 37223¹

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 74446

List of positive integer factors of 74446 that divides 74442 without a remainder.

1, 2, 37223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74442 and 74446. The biggest common factor number is the GCF number.
So the greatest common factor 74442 and 74446 is 2.

Also check out the Least Common Multiple of 74442 and 74446