What is the Greatest Common Factor of 61814 and 61820?

Greatest common factor (GCF) of 61814 and 61820 is 2.

GCF(61814,61820) = 2

We will now calculate the prime factors of 61814 and 61820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61814 and 61820.

How to find the GCF of 61814 and 61820?

We will first find the prime factorization of 61814 and 61820. After we will calculate the factors of 61814 and 61820 and find the biggest common factor number .

Step-1: Prime Factorization of 61814

Prime factors of 61814 are 2, 31, 997. Prime factorization of 61814 in exponential form is:

61814 = 2¹ × 31¹ × 997¹

Step-2: Prime Factorization of 61820

Prime factors of 61820 are 2, 5, 11, 281. Prime factorization of 61820 in exponential form is:

61820 = 2² × 5¹ × 11¹ × 281¹

Step-3: Factors of 61814

List of positive integer factors of 61814 that divides 61814 without a remainder.

1, 2, 31, 62, 997, 1994, 30907

Step-4: Factors of 61820

List of positive integer factors of 61820 that divides 61814 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 281, 562, 1124, 1405, 2810, 3091, 5620, 6182, 12364, 15455, 30910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61814 and 61820. The biggest common factor number is the GCF number.
So the greatest common factor 61814 and 61820 is 2.

Also check out the Least Common Multiple of 61814 and 61820