What is the Greatest Common Factor of 50694 and 50709?

Greatest common factor (GCF) of 50694 and 50709 is 3.

GCF(50694,50709) = 3

We will now calculate the prime factors of 50694 and 50709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50694 and 50709.

How to find the GCF of 50694 and 50709?

We will first find the prime factorization of 50694 and 50709. After we will calculate the factors of 50694 and 50709 and find the biggest common factor number .

Step-1: Prime Factorization of 50694

Prime factors of 50694 are 2, 3, 7, 17, 71. Prime factorization of 50694 in exponential form is:

50694 = 2¹ × 3¹ × 7¹ × 17¹ × 71¹

Step-2: Prime Factorization of 50709

Prime factors of 50709 are 3, 16903. Prime factorization of 50709 in exponential form is:

50709 = 3¹ × 16903¹

Step-3: Factors of 50694

List of positive integer factors of 50694 that divides 50694 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 71, 102, 119, 142, 213, 238, 357, 426, 497, 714, 994, 1207, 1491, 2414, 2982, 3621, 7242, 8449, 16898, 25347

Step-4: Factors of 50709

List of positive integer factors of 50709 that divides 50694 without a remainder.

1, 3, 16903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50694 and 50709. The biggest common factor number is the GCF number.
So the greatest common factor 50694 and 50709 is 3.

Also check out the Least Common Multiple of 50694 and 50709