What is the Greatest Common Factor of 50690 and 50700?

Greatest common factor (GCF) of 50690 and 50700 is 10.

GCF(50690,50700) = 10

We will now calculate the prime factors of 50690 and 50700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50690 and 50700.

How to find the GCF of 50690 and 50700?

We will first find the prime factorization of 50690 and 50700. After we will calculate the factors of 50690 and 50700 and find the biggest common factor number .

Step-1: Prime Factorization of 50690

Prime factors of 50690 are 2, 5, 37, 137. Prime factorization of 50690 in exponential form is:

50690 = 2¹ × 5¹ × 37¹ × 137¹

Step-2: Prime Factorization of 50700

Prime factors of 50700 are 2, 3, 5, 13. Prime factorization of 50700 in exponential form is:

50700 = 2² × 3¹ × 5² × 13²

Step-3: Factors of 50690

List of positive integer factors of 50690 that divides 50690 without a remainder.

1, 2, 5, 10, 37, 74, 137, 185, 274, 370, 685, 1370, 5069, 10138, 25345

Step-4: Factors of 50700

List of positive integer factors of 50700 that divides 50690 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 169, 195, 260, 300, 325, 338, 390, 507, 650, 676, 780, 845, 975, 1014, 1300, 1690, 1950, 2028, 2535, 3380, 3900, 4225, 5070, 8450, 10140, 12675, 16900, 25350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50690 and 50700. The biggest common factor number is the GCF number.
So the greatest common factor 50690 and 50700 is 10.

Also check out the Least Common Multiple of 50690 and 50700