What is the Greatest Common Factor of 35250 and 35262?

Greatest common factor (GCF) of 35250 and 35262 is 6.

GCF(35250,35262) = 6

We will now calculate the prime factors of 35250 and 35262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35250 and 35262.

How to find the GCF of 35250 and 35262?

We will first find the prime factorization of 35250 and 35262. After we will calculate the factors of 35250 and 35262 and find the biggest common factor number .

Step-1: Prime Factorization of 35250

Prime factors of 35250 are 2, 3, 5, 47. Prime factorization of 35250 in exponential form is:

35250 = 2¹ × 3¹ × 5³ × 47¹

Step-2: Prime Factorization of 35262

Prime factors of 35262 are 2, 3, 653. Prime factorization of 35262 in exponential form is:

35262 = 2¹ × 3³ × 653¹

Step-3: Factors of 35250

List of positive integer factors of 35250 that divides 35250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 125, 141, 150, 235, 250, 282, 375, 470, 705, 750, 1175, 1410, 2350, 3525, 5875, 7050, 11750, 17625

Step-4: Factors of 35262

List of positive integer factors of 35262 that divides 35250 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 653, 1306, 1959, 3918, 5877, 11754, 17631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35250 and 35262. The biggest common factor number is the GCF number.
So the greatest common factor 35250 and 35262 is 6.

Also check out the Least Common Multiple of 35250 and 35262