What is the Greatest Common Factor of 50435 and 50442?

Greatest common factor (GCF) of 50435 and 50442 is 7.

GCF(50435,50442) = 7

We will now calculate the prime factors of 50435 and 50442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50435 and 50442.

How to find the GCF of 50435 and 50442?

We will first find the prime factorization of 50435 and 50442. After we will calculate the factors of 50435 and 50442 and find the biggest common factor number .

Step-1: Prime Factorization of 50435

Prime factors of 50435 are 5, 7, 11, 131. Prime factorization of 50435 in exponential form is:

50435 = 5¹ × 7¹ × 11¹ × 131¹

Step-2: 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-3: Factors of 50435

List of positive integer factors of 50435 that divides 50435 without a remainder.

1, 5, 7, 11, 35, 55, 77, 131, 385, 655, 917, 1441, 4585, 7205, 10087

Step-4: Factors of 50442

List of positive integer factors of 50442 that divides 50435 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50435 and 50442. The biggest common factor number is the GCF number.
So the greatest common factor 50435 and 50442 is 7.

Also check out the Least Common Multiple of 50435 and 50442