What is the Greatest Common Factor of 57820 and 57834?

Greatest common factor (GCF) of 57820 and 57834 is 14.

GCF(57820,57834) = 14

We will now calculate the prime factors of 57820 and 57834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57820 and 57834.

How to find the GCF of 57820 and 57834?

We will first find the prime factorization of 57820 and 57834. After we will calculate the factors of 57820 and 57834 and find the biggest common factor number .

Step-1: Prime Factorization of 57820

Prime factors of 57820 are 2, 5, 7, 59. Prime factorization of 57820 in exponential form is:

57820 = 2² × 5¹ × 7² × 59¹

Step-2: Prime Factorization of 57834

Prime factors of 57834 are 2, 3, 7, 17. Prime factorization of 57834 in exponential form is:

57834 = 2¹ × 3⁵ × 7¹ × 17¹

Step-3: Factors of 57820

List of positive integer factors of 57820 that divides 57820 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 59, 70, 98, 118, 140, 196, 236, 245, 295, 413, 490, 590, 826, 980, 1180, 1652, 2065, 2891, 4130, 5782, 8260, 11564, 14455, 28910

Step-4: Factors of 57834

List of positive integer factors of 57834 that divides 57820 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 81, 102, 119, 126, 153, 162, 189, 238, 243, 306, 357, 378, 459, 486, 567, 714, 918, 1071, 1134, 1377, 1701, 2142, 2754, 3213, 3402, 4131, 6426, 8262, 9639, 19278, 28917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57820 and 57834. The biggest common factor number is the GCF number.
So the greatest common factor 57820 and 57834 is 14.

Also check out the Least Common Multiple of 57820 and 57834