What is the Greatest Common Factor of 50694 and 50703?

Greatest common factor (GCF) of 50694 and 50703 is 3.

GCF(50694,50703) = 3

We will now calculate the prime factors of 50694 and 50703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50694 and 50703.

How to find the GCF of 50694 and 50703?

We will first find the prime factorization of 50694 and 50703. After we will calculate the factors of 50694 and 50703 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 50703

Prime factors of 50703 are 3, 16901. Prime factorization of 50703 in exponential form is:

50703 = 3¹ × 16901¹

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 50703

List of positive integer factors of 50703 that divides 50694 without a remainder.

1, 3, 16901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50694 and 50703. The biggest common factor number is the GCF number.
So the greatest common factor 50694 and 50703 is 3.

Also check out the Least Common Multiple of 50694 and 50703