What is the Greatest Common Factor of 70590 and 70610?

Greatest common factor (GCF) of 70590 and 70610 is 10.

GCF(70590,70610) = 10

We will now calculate the prime factors of 70590 and 70610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70590 and 70610.

How to find the GCF of 70590 and 70610?

We will first find the prime factorization of 70590 and 70610. After we will calculate the factors of 70590 and 70610 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 70610

Prime factors of 70610 are 2, 5, 23, 307. Prime factorization of 70610 in exponential form is:

70610 = 2¹ × 5¹ × 23¹ × 307¹

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 70610

List of positive integer factors of 70610 that divides 70590 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 307, 614, 1535, 3070, 7061, 14122, 35305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70590 and 70610. The biggest common factor number is the GCF number.
So the greatest common factor 70590 and 70610 is 10.

Also check out the Least Common Multiple of 70590 and 70610