What is the Greatest Common Factor of 34850 and 34860?

Greatest common factor (GCF) of 34850 and 34860 is 10.

GCF(34850,34860) = 10

We will now calculate the prime factors of 34850 and 34860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34850 and 34860.

How to find the GCF of 34850 and 34860?

We will first find the prime factorization of 34850 and 34860. After we will calculate the factors of 34850 and 34860 and find the biggest common factor number .

Step-1: Prime Factorization of 34850

Prime factors of 34850 are 2, 5, 17, 41. Prime factorization of 34850 in exponential form is:

34850 = 2¹ × 5² × 17¹ × 41¹

Step-2: Prime Factorization of 34860

Prime factors of 34860 are 2, 3, 5, 7, 83. Prime factorization of 34860 in exponential form is:

34860 = 2² × 3¹ × 5¹ × 7¹ × 83¹

Step-3: Factors of 34850

List of positive integer factors of 34850 that divides 34850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 41, 50, 82, 85, 170, 205, 410, 425, 697, 850, 1025, 1394, 2050, 3485, 6970, 17425

Step-4: Factors of 34860

List of positive integer factors of 34860 that divides 34850 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 83, 84, 105, 140, 166, 210, 249, 332, 415, 420, 498, 581, 830, 996, 1162, 1245, 1660, 1743, 2324, 2490, 2905, 3486, 4980, 5810, 6972, 8715, 11620, 17430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34850 and 34860. The biggest common factor number is the GCF number.
So the greatest common factor 34850 and 34860 is 10.

Also check out the Least Common Multiple of 34850 and 34860