What is the Greatest Common Factor of 45689 and 45704?

Greatest common factor (GCF) of 45689 and 45704 is 1.

GCF(45689,45704) = 1

We will now calculate the prime factors of 45689 and 45704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45689 and 45704.

How to find the GCF of 45689 and 45704?

We will first find the prime factorization of 45689 and 45704. After we will calculate the factors of 45689 and 45704 and find the biggest common factor number .

Step-1: Prime Factorization of 45689

Prime factors of 45689 are 7, 61, 107. Prime factorization of 45689 in exponential form is:

45689 = 7¹ × 61¹ × 107¹

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 45689

List of positive integer factors of 45689 that divides 45689 without a remainder.

1, 7, 61, 107, 427, 749, 6527

Step-4: Factors of 45704

List of positive integer factors of 45704 that divides 45689 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 45689 and 45704. The biggest common factor number is the GCF number.
So the greatest common factor 45689 and 45704 is 1.

Also check out the Least Common Multiple of 45689 and 45704