What is the Greatest Common Factor of 41650 and 41670?

Greatest common factor (GCF) of 41650 and 41670 is 10.

GCF(41650,41670) = 10

We will now calculate the prime factors of 41650 and 41670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41650 and 41670.

How to find the GCF of 41650 and 41670?

We will first find the prime factorization of 41650 and 41670. After we will calculate the factors of 41650 and 41670 and find the biggest common factor number .

Step-1: Prime Factorization of 41650

Prime factors of 41650 are 2, 5, 7, 17. Prime factorization of 41650 in exponential form is:

41650 = 2¹ × 5² × 7² × 17¹

Step-2: Prime Factorization of 41670

Prime factors of 41670 are 2, 3, 5, 463. Prime factorization of 41670 in exponential form is:

41670 = 2¹ × 3² × 5¹ × 463¹

Step-3: Factors of 41650

List of positive integer factors of 41650 that divides 41650 without a remainder.

1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 49, 50, 70, 85, 98, 119, 170, 175, 238, 245, 350, 425, 490, 595, 833, 850, 1190, 1225, 1666, 2450, 2975, 4165, 5950, 8330, 20825

Step-4: Factors of 41670

List of positive integer factors of 41670 that divides 41650 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 463, 926, 1389, 2315, 2778, 4167, 4630, 6945, 8334, 13890, 20835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41650 and 41670. The biggest common factor number is the GCF number.
So the greatest common factor 41650 and 41670 is 10.

Also check out the Least Common Multiple of 41650 and 41670