What is the Greatest Common Factor of 70590 and 70600?

Greatest common factor (GCF) of 70590 and 70600 is 10.

GCF(70590,70600) = 10

We will now calculate the prime factors of 70590 and 70600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70590 and 70600.

How to find the GCF of 70590 and 70600?

We will first find the prime factorization of 70590 and 70600. After we will calculate the factors of 70590 and 70600 and find the biggest common factor number .

Step-1: Prime Factorization of 70590

Prime factors of 70590 are 2, 3, 5, 13, 181. Prime factorization of 70590 in exponential form is:

70590 = 2¹ × 3¹ × 5¹ × 13¹ × 181¹

Step-2: Prime Factorization of 70600

Prime factors of 70600 are 2, 5, 353. Prime factorization of 70600 in exponential form is:

70600 = 2³ × 5² × 353¹

Step-3: Factors of 70590

List of positive integer factors of 70590 that divides 70590 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 181, 195, 362, 390, 543, 905, 1086, 1810, 2353, 2715, 4706, 5430, 7059, 11765, 14118, 23530, 35295

Step-4: Factors of 70600

List of positive integer factors of 70600 that divides 70590 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 353, 706, 1412, 1765, 2824, 3530, 7060, 8825, 14120, 17650, 35300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70590 and 70600. The biggest common factor number is the GCF number.
So the greatest common factor 70590 and 70600 is 10.

Also check out the Least Common Multiple of 70590 and 70600