What is the Greatest Common Factor of 61880 and 61899?

Greatest common factor (GCF) of 61880 and 61899 is 1.

GCF(61880,61899) = 1

We will now calculate the prime factors of 61880 and 61899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61880 and 61899.

How to find the GCF of 61880 and 61899?

We will first find the prime factorization of 61880 and 61899. After we will calculate the factors of 61880 and 61899 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61899

Prime factors of 61899 are 3, 47, 439. Prime factorization of 61899 in exponential form is:

61899 = 3¹ × 47¹ × 439¹

Step-3: Factors of 61880

List of positive integer factors of 61880 that divides 61880 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

Step-4: Factors of 61899

List of positive integer factors of 61899 that divides 61880 without a remainder.

1, 3, 47, 141, 439, 1317, 20633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61880 and 61899. The biggest common factor number is the GCF number.
So the greatest common factor 61880 and 61899 is 1.

Also check out the Least Common Multiple of 61880 and 61899