What is the Greatest Common Factor of 61820 and 61831?

Greatest common factor (GCF) of 61820 and 61831 is 11.

GCF(61820,61831) = 11

We will now calculate the prime factors of 61820 and 61831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61820 and 61831.

How to find the GCF of 61820 and 61831?

We will first find the prime factorization of 61820 and 61831. After we will calculate the factors of 61820 and 61831 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61831

Prime factors of 61831 are 7, 11, 73. Prime factorization of 61831 in exponential form is:

61831 = 7¹ × 11² × 73¹

Step-3: Factors of 61820

List of positive integer factors of 61820 that divides 61820 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

Step-4: Factors of 61831

List of positive integer factors of 61831 that divides 61820 without a remainder.

1, 7, 11, 73, 77, 121, 511, 803, 847, 5621, 8833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61820 and 61831. The biggest common factor number is the GCF number.
So the greatest common factor 61820 and 61831 is 11.

Also check out the Least Common Multiple of 61820 and 61831