What is the Greatest Common Factor of 50694 and 50708?

Greatest common factor (GCF) of 50694 and 50708 is 14.

GCF(50694,50708) = 14

We will now calculate the prime factors of 50694 and 50708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50694 and 50708.

How to find the GCF of 50694 and 50708?

We will first find the prime factorization of 50694 and 50708. After we will calculate the factors of 50694 and 50708 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 50708

Prime factors of 50708 are 2, 7, 1811. Prime factorization of 50708 in exponential form is:

50708 = 2² × 7¹ × 1811¹

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 50708

List of positive integer factors of 50708 that divides 50694 without a remainder.

1, 2, 4, 7, 14, 28, 1811, 3622, 7244, 12677, 25354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50694 and 50708. The biggest common factor number is the GCF number.
So the greatest common factor 50694 and 50708 is 14.

Also check out the Least Common Multiple of 50694 and 50708