What is the Greatest Common Factor of 61860 and 61880?

Greatest common factor (GCF) of 61860 and 61880 is 20.

GCF(61860,61880) = 20

We will now calculate the prime factors of 61860 and 61880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61860 and 61880.

How to find the GCF of 61860 and 61880?

We will first find the prime factorization of 61860 and 61880. After we will calculate the factors of 61860 and 61880 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61880

Prime factors of 61880 are 2, 5, 7, 13, 17. Prime factorization of 61880 in exponential form is:

61880 = 2³ × 5¹ × 7¹ × 13¹ × 17¹

Step-3: Factors of 61860

List of positive integer factors of 61860 that divides 61860 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

Step-4: Factors of 61880

List of positive integer factors of 61880 that divides 61860 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 17, 20, 26, 28, 34, 35, 40, 52, 56, 65, 68, 70, 85, 91, 104, 119, 130, 136, 140, 170, 182, 221, 238, 260, 280, 340, 364, 442, 455, 476, 520, 595, 680, 728, 884, 910, 952, 1105, 1190, 1547, 1768, 1820, 2210, 2380, 3094, 3640, 4420, 4760, 6188, 7735, 8840, 12376, 15470, 30940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61860 and 61880. The biggest common factor number is the GCF number.
So the greatest common factor 61860 and 61880 is 20.

Also check out the Least Common Multiple of 61860 and 61880