What is the Greatest Common Factor of 57862 and 57876?

Greatest common factor (GCF) of 57862 and 57876 is 14.

GCF(57862,57876) = 14

We will now calculate the prime factors of 57862 and 57876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57862 and 57876.

How to find the GCF of 57862 and 57876?

We will first find the prime factorization of 57862 and 57876. After we will calculate the factors of 57862 and 57876 and find the biggest common factor number .

Step-1: Prime Factorization of 57862

Prime factors of 57862 are 2, 7, 4133. Prime factorization of 57862 in exponential form is:

57862 = 2¹ × 7¹ × 4133¹

Step-2: Prime Factorization of 57876

Prime factors of 57876 are 2, 3, 7, 13, 53. Prime factorization of 57876 in exponential form is:

57876 = 2² × 3¹ × 7¹ × 13¹ × 53¹

Step-3: Factors of 57862

List of positive integer factors of 57862 that divides 57862 without a remainder.

1, 2, 7, 14, 4133, 8266, 28931

Step-4: Factors of 57876

List of positive integer factors of 57876 that divides 57862 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 53, 78, 84, 91, 106, 156, 159, 182, 212, 273, 318, 364, 371, 546, 636, 689, 742, 1092, 1113, 1378, 1484, 2067, 2226, 2756, 4134, 4452, 4823, 8268, 9646, 14469, 19292, 28938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57862 and 57876. The biggest common factor number is the GCF number.
So the greatest common factor 57862 and 57876 is 14.

Also check out the Least Common Multiple of 57862 and 57876