What is the Greatest Common Factor of 61840 and 61860?

Greatest common factor (GCF) of 61840 and 61860 is 20.

GCF(61840,61860) = 20

We will now calculate the prime factors of 61840 and 61860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61840 and 61860.

How to find the GCF of 61840 and 61860?

We will first find the prime factorization of 61840 and 61860. After we will calculate the factors of 61840 and 61860 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61860

Prime factors of 61860 are 2, 3, 5, 1031. Prime factorization of 61860 in exponential form is:

61860 = 2² × 3¹ × 5¹ × 1031¹

Step-3: Factors of 61840

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

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

Step-4: Factors of 61860

List of positive integer factors of 61860 that divides 61840 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1031, 2062, 3093, 4124, 5155, 6186, 10310, 12372, 15465, 20620, 30930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61840 and 61860. The biggest common factor number is the GCF number.
So the greatest common factor 61840 and 61860 is 20.

Also check out the Least Common Multiple of 61840 and 61860