What is the Greatest Common Factor of 61374 and 61394?

Greatest common factor (GCF) of 61374 and 61394 is 2.

GCF(61374,61394) = 2

We will now calculate the prime factors of 61374 and 61394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61374 and 61394.

How to find the GCF of 61374 and 61394?

We will first find the prime factorization of 61374 and 61394. After we will calculate the factors of 61374 and 61394 and find the biggest common factor number .

Step-1: Prime Factorization of 61374

Prime factors of 61374 are 2, 3, 53, 193. Prime factorization of 61374 in exponential form is:

61374 = 2¹ × 3¹ × 53¹ × 193¹

Step-2: Prime Factorization of 61394

Prime factors of 61394 are 2, 30697. Prime factorization of 61394 in exponential form is:

61394 = 2¹ × 30697¹

Step-3: Factors of 61374

List of positive integer factors of 61374 that divides 61374 without a remainder.

1, 2, 3, 6, 53, 106, 159, 193, 318, 386, 579, 1158, 10229, 20458, 30687

Step-4: Factors of 61394

List of positive integer factors of 61394 that divides 61374 without a remainder.

1, 2, 30697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61374 and 61394. The biggest common factor number is the GCF number.
So the greatest common factor 61374 and 61394 is 2.

Also check out the Least Common Multiple of 61374 and 61394