What is the Greatest Common Factor of 50402 and 50413?

Greatest common factor (GCF) of 50402 and 50413 is 11.

GCF(50402,50413) = 11

We will now calculate the prime factors of 50402 and 50413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50402 and 50413.

How to find the GCF of 50402 and 50413?

We will first find the prime factorization of 50402 and 50413. After we will calculate the factors of 50402 and 50413 and find the biggest common factor number .

Step-1: Prime Factorization of 50402

Prime factors of 50402 are 2, 11, 29, 79. Prime factorization of 50402 in exponential form is:

50402 = 2¹ × 11¹ × 29¹ × 79¹

Step-2: Prime Factorization of 50413

Prime factors of 50413 are 11, 4583. Prime factorization of 50413 in exponential form is:

50413 = 11¹ × 4583¹

Step-3: Factors of 50402

List of positive integer factors of 50402 that divides 50402 without a remainder.

1, 2, 11, 22, 29, 58, 79, 158, 319, 638, 869, 1738, 2291, 4582, 25201

Step-4: Factors of 50413

List of positive integer factors of 50413 that divides 50402 without a remainder.

1, 11, 4583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50402 and 50413. The biggest common factor number is the GCF number.
So the greatest common factor 50402 and 50413 is 11.

Also check out the Least Common Multiple of 50402 and 50413