What is the Greatest Common Factor of 50652 and 50666?

Greatest common factor (GCF) of 50652 and 50666 is 14.

GCF(50652,50666) = 14

We will now calculate the prime factors of 50652 and 50666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50652 and 50666.

How to find the GCF of 50652 and 50666?

We will first find the prime factorization of 50652 and 50666. After we will calculate the factors of 50652 and 50666 and find the biggest common factor number .

Step-1: Prime Factorization of 50652

Prime factors of 50652 are 2, 3, 7, 67. Prime factorization of 50652 in exponential form is:

50652 = 2² × 3³ × 7¹ × 67¹

Step-2: Prime Factorization of 50666

Prime factors of 50666 are 2, 7, 11, 47. Prime factorization of 50666 in exponential form is:

50666 = 2¹ × 7² × 11¹ × 47¹

Step-3: Factors of 50652

List of positive integer factors of 50652 that divides 50652 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 67, 84, 108, 126, 134, 189, 201, 252, 268, 378, 402, 469, 603, 756, 804, 938, 1206, 1407, 1809, 1876, 2412, 2814, 3618, 4221, 5628, 7236, 8442, 12663, 16884, 25326

Step-4: Factors of 50666

List of positive integer factors of 50666 that divides 50652 without a remainder.

1, 2, 7, 11, 14, 22, 47, 49, 77, 94, 98, 154, 329, 517, 539, 658, 1034, 1078, 2303, 3619, 4606, 7238, 25333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50652 and 50666. The biggest common factor number is the GCF number.
So the greatest common factor 50652 and 50666 is 14.

Also check out the Least Common Multiple of 50652 and 50666