What is the Greatest Common Factor of 50442 and 50460?

Greatest common factor (GCF) of 50442 and 50460 is 6.

GCF(50442,50460) = 6

We will now calculate the prime factors of 50442 and 50460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50442 and 50460.

How to find the GCF of 50442 and 50460?

We will first find the prime factorization of 50442 and 50460. After we will calculate the factors of 50442 and 50460 and find the biggest common factor number .

Step-1: Prime Factorization of 50442

Prime factors of 50442 are 2, 3, 7, 1201. Prime factorization of 50442 in exponential form is:

50442 = 2¹ × 3¹ × 7¹ × 1201¹

Step-2: Prime Factorization of 50460

Prime factors of 50460 are 2, 3, 5, 29. Prime factorization of 50460 in exponential form is:

50460 = 2² × 3¹ × 5¹ × 29²

Step-3: Factors of 50442

List of positive integer factors of 50442 that divides 50442 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1201, 2402, 3603, 7206, 8407, 16814, 25221

Step-4: Factors of 50460

List of positive integer factors of 50460 that divides 50442 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 841, 870, 1682, 1740, 2523, 3364, 4205, 5046, 8410, 10092, 12615, 16820, 25230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50442 and 50460. The biggest common factor number is the GCF number.
So the greatest common factor 50442 and 50460 is 6.

Also check out the Least Common Multiple of 50442 and 50460