What is the Greatest Common Factor of 27474 and 27494?

Greatest common factor (GCF) of 27474 and 27494 is 2.

GCF(27474,27494) = 2

We will now calculate the prime factors of 27474 and 27494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27474 and 27494.

How to find the GCF of 27474 and 27494?

We will first find the prime factorization of 27474 and 27494. After we will calculate the factors of 27474 and 27494 and find the biggest common factor number .

Step-1: Prime Factorization of 27474

Prime factors of 27474 are 2, 3, 19, 241. Prime factorization of 27474 in exponential form is:

27474 = 2¹ × 3¹ × 19¹ × 241¹

Step-2: Prime Factorization of 27494

Prime factors of 27494 are 2, 59, 233. Prime factorization of 27494 in exponential form is:

27494 = 2¹ × 59¹ × 233¹

Step-3: Factors of 27474

List of positive integer factors of 27474 that divides 27474 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 241, 482, 723, 1446, 4579, 9158, 13737

Step-4: Factors of 27494

List of positive integer factors of 27494 that divides 27474 without a remainder.

1, 2, 59, 118, 233, 466, 13747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27474 and 27494. The biggest common factor number is the GCF number.
So the greatest common factor 27474 and 27494 is 2.

Also check out the Least Common Multiple of 27474 and 27494