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What is the Greatest Common Factor of 50435 and 50445?

Greatest common factor (GCF) of 50435 and 50445 is 5.

GCF(50435,50445) = 5

We will now calculate the prime factors of 50435 and 50445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50435 and 50445.

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How to find the GCF of 50435 and 50445?

We will first find the prime factorization of 50435 and 50445. After we will calculate the factors of 50435 and 50445 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 50445

Prime factors of 50445 are 3, 5, 19, 59. Prime factorization of 50445 in exponential form is:

50445 = 32 × 51 × 191 × 591

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 50445

List of positive integer factors of 50445 that divides 50435 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 59, 95, 171, 177, 285, 295, 531, 855, 885, 1121, 2655, 3363, 5605, 10089, 16815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50435 and 50445. The biggest common factor number is the GCF number.
So the greatest common factor 50435 and 50445 is 5.

Also check out the Least Common Multiple of 50435 and 50445