What is the Greatest Common Factor of 45694 and 45704?

Greatest common factor (GCF) of 45694 and 45704 is 2.

GCF(45694,45704) = 2

We will now calculate the prime factors of 45694 and 45704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45694 and 45704.

How to find the GCF of 45694 and 45704?

We will first find the prime factorization of 45694 and 45704. After we will calculate the factors of 45694 and 45704 and find the biggest common factor number .

Step-1: Prime Factorization of 45694

Prime factors of 45694 are 2, 11, 31, 67. Prime factorization of 45694 in exponential form is:

45694 = 2¹ × 11¹ × 31¹ × 67¹

Step-2: Prime Factorization of 45704

Prime factors of 45704 are 2, 29, 197. Prime factorization of 45704 in exponential form is:

45704 = 2³ × 29¹ × 197¹

Step-3: Factors of 45694

List of positive integer factors of 45694 that divides 45694 without a remainder.

1, 2, 11, 22, 31, 62, 67, 134, 341, 682, 737, 1474, 2077, 4154, 22847

Step-4: Factors of 45704

List of positive integer factors of 45704 that divides 45694 without a remainder.

1, 2, 4, 8, 29, 58, 116, 197, 232, 394, 788, 1576, 5713, 11426, 22852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45694 and 45704. The biggest common factor number is the GCF number.
So the greatest common factor 45694 and 45704 is 2.

Also check out the Least Common Multiple of 45694 and 45704