What is the Greatest Common Factor of 61820 and 61840?

Greatest common factor (GCF) of 61820 and 61840 is 20.

GCF(61820,61840) = 20

We will now calculate the prime factors of 61820 and 61840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61820 and 61840.

How to find the GCF of 61820 and 61840?

We will first find the prime factorization of 61820 and 61840. After we will calculate the factors of 61820 and 61840 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 61840

Prime factors of 61840 are 2, 5, 773. Prime factorization of 61840 in exponential form is:

61840 = 2⁴ × 5¹ × 773¹

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 61840

List of positive integer factors of 61840 that divides 61820 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 773, 1546, 3092, 3865, 6184, 7730, 12368, 15460, 30920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61820 and 61840. The biggest common factor number is the GCF number.
So the greatest common factor 61820 and 61840 is 20.

Also check out the Least Common Multiple of 61820 and 61840