What is the Greatest Common Factor of 45676 and 45695?

Greatest common factor (GCF) of 45676 and 45695 is 19.

GCF(45676,45695) = 19

We will now calculate the prime factors of 45676 and 45695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45676 and 45695.

How to find the GCF of 45676 and 45695?

We will first find the prime factorization of 45676 and 45695. After we will calculate the factors of 45676 and 45695 and find the biggest common factor number .

Step-1: Prime Factorization of 45676

Prime factors of 45676 are 2, 19, 601. Prime factorization of 45676 in exponential form is:

45676 = 2² × 19¹ × 601¹

Step-2: Prime Factorization of 45695

Prime factors of 45695 are 5, 13, 19, 37. Prime factorization of 45695 in exponential form is:

45695 = 5¹ × 13¹ × 19¹ × 37¹

Step-3: Factors of 45676

List of positive integer factors of 45676 that divides 45676 without a remainder.

1, 2, 4, 19, 38, 76, 601, 1202, 2404, 11419, 22838

Step-4: Factors of 45695

List of positive integer factors of 45695 that divides 45676 without a remainder.

1, 5, 13, 19, 37, 65, 95, 185, 247, 481, 703, 1235, 2405, 3515, 9139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45676 and 45695. The biggest common factor number is the GCF number.
So the greatest common factor 45676 and 45695 is 19.

Also check out the Least Common Multiple of 45676 and 45695