What is the Greatest Common Factor of 51814 and 51820?

Greatest common factor (GCF) of 51814 and 51820 is 2.

GCF(51814,51820) = 2

We will now calculate the prime factors of 51814 and 51820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51814 and 51820.

How to find the GCF of 51814 and 51820?

We will first find the prime factorization of 51814 and 51820. After we will calculate the factors of 51814 and 51820 and find the biggest common factor number .

Step-1: Prime Factorization of 51814

Prime factors of 51814 are 2, 7, 3701. Prime factorization of 51814 in exponential form is:

51814 = 2¹ × 7¹ × 3701¹

Step-2: Prime Factorization of 51820

Prime factors of 51820 are 2, 5, 2591. Prime factorization of 51820 in exponential form is:

51820 = 2² × 5¹ × 2591¹

Step-3: Factors of 51814

List of positive integer factors of 51814 that divides 51814 without a remainder.

1, 2, 7, 14, 3701, 7402, 25907

Step-4: Factors of 51820

List of positive integer factors of 51820 that divides 51814 without a remainder.

1, 2, 4, 5, 10, 20, 2591, 5182, 10364, 12955, 25910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51814 and 51820. The biggest common factor number is the GCF number.
So the greatest common factor 51814 and 51820 is 2.

Also check out the Least Common Multiple of 51814 and 51820