What is the Greatest Common Factor of 61880 and 61900?

Greatest common factor (GCF) of 61880 and 61900 is 20.

GCF(61880,61900) = 20

We will now calculate the prime factors of 61880 and 61900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61880 and 61900.

How to find the GCF of 61880 and 61900?

We will first find the prime factorization of 61880 and 61900. After we will calculate the factors of 61880 and 61900 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 61900

Prime factors of 61900 are 2, 5, 619. Prime factorization of 61900 in exponential form is:

61900 = 2² × 5² × 619¹

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 61900

List of positive integer factors of 61900 that divides 61880 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 619, 1238, 2476, 3095, 6190, 12380, 15475, 30950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61880 and 61900. The biggest common factor number is the GCF number.
So the greatest common factor 61880 and 61900 is 20.

Also check out the Least Common Multiple of 61880 and 61900