What is the Greatest Common Factor of 74542 and 74554?

Greatest common factor (GCF) of 74542 and 74554 is 2.

GCF(74542,74554) = 2

We will now calculate the prime factors of 74542 and 74554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74542 and 74554.

How to find the GCF of 74542 and 74554?

We will first find the prime factorization of 74542 and 74554. After we will calculate the factors of 74542 and 74554 and find the biggest common factor number .

Step-1: Prime Factorization of 74542

Prime factors of 74542 are 2, 13, 47, 61. Prime factorization of 74542 in exponential form is:

74542 = 2¹ × 13¹ × 47¹ × 61¹

Step-2: Prime Factorization of 74554

Prime factors of 74554 are 2, 37277. Prime factorization of 74554 in exponential form is:

74554 = 2¹ × 37277¹

Step-3: Factors of 74542

List of positive integer factors of 74542 that divides 74542 without a remainder.

1, 2, 13, 26, 47, 61, 94, 122, 611, 793, 1222, 1586, 2867, 5734, 37271

Step-4: Factors of 74554

List of positive integer factors of 74554 that divides 74542 without a remainder.

1, 2, 37277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74542 and 74554. The biggest common factor number is the GCF number.
So the greatest common factor 74542 and 74554 is 2.

Also check out the Least Common Multiple of 74542 and 74554