What is the Greatest Common Factor of 45814 and 45820?

Greatest common factor (GCF) of 45814 and 45820 is 2.

GCF(45814,45820) = 2

We will now calculate the prime factors of 45814 and 45820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45814 and 45820.

How to find the GCF of 45814 and 45820?

We will first find the prime factorization of 45814 and 45820. After we will calculate the factors of 45814 and 45820 and find the biggest common factor number .

Step-1: Prime Factorization of 45814

Prime factors of 45814 are 2, 22907. Prime factorization of 45814 in exponential form is:

45814 = 2¹ × 22907¹

Step-2: Prime Factorization of 45820

Prime factors of 45820 are 2, 5, 29, 79. Prime factorization of 45820 in exponential form is:

45820 = 2² × 5¹ × 29¹ × 79¹

Step-3: Factors of 45814

List of positive integer factors of 45814 that divides 45814 without a remainder.

1, 2, 22907

Step-4: Factors of 45820

List of positive integer factors of 45820 that divides 45814 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 79, 116, 145, 158, 290, 316, 395, 580, 790, 1580, 2291, 4582, 9164, 11455, 22910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45814 and 45820. The biggest common factor number is the GCF number.
So the greatest common factor 45814 and 45820 is 2.

Also check out the Least Common Multiple of 45814 and 45820