What is the Greatest Common Factor of 61865 and 61880?

Greatest common factor (GCF) of 61865 and 61880 is 5.

GCF(61865,61880) = 5

We will now calculate the prime factors of 61865 and 61880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61865 and 61880.

How to find the GCF of 61865 and 61880?

We will first find the prime factorization of 61865 and 61880. After we will calculate the factors of 61865 and 61880 and find the biggest common factor number .

Step-1: Prime Factorization of 61865

Prime factors of 61865 are 5, 12373. Prime factorization of 61865 in exponential form is:

61865 = 5¹ × 12373¹

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 61865

List of positive integer factors of 61865 that divides 61865 without a remainder.

1, 5, 12373

Step-4: Factors of 61880

List of positive integer factors of 61880 that divides 61865 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 61865 and 61880. The biggest common factor number is the GCF number.
So the greatest common factor 61865 and 61880 is 5.

Also check out the Least Common Multiple of 61865 and 61880