What is the Greatest Common Factor of 70590 and 70603?

Greatest common factor (GCF) of 70590 and 70603 is 13.

GCF(70590,70603) = 13

We will now calculate the prime factors of 70590 and 70603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70590 and 70603.

How to find the GCF of 70590 and 70603?

We will first find the prime factorization of 70590 and 70603. After we will calculate the factors of 70590 and 70603 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 70603

Prime factors of 70603 are 13, 5431. Prime factorization of 70603 in exponential form is:

70603 = 13¹ × 5431¹

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 70603

List of positive integer factors of 70603 that divides 70590 without a remainder.

1, 13, 5431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70590 and 70603. The biggest common factor number is the GCF number.
So the greatest common factor 70590 and 70603 is 13.

Also check out the Least Common Multiple of 70590 and 70603