What is the Greatest Common Factor of 70575 and 70590?

Greatest common factor (GCF) of 70575 and 70590 is 15.

GCF(70575,70590) = 15

We will now calculate the prime factors of 70575 and 70590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70575 and 70590.

How to find the GCF of 70575 and 70590?

We will first find the prime factorization of 70575 and 70590. After we will calculate the factors of 70575 and 70590 and find the biggest common factor number .

Step-1: Prime Factorization of 70575

Prime factors of 70575 are 3, 5, 941. Prime factorization of 70575 in exponential form is:

70575 = 3¹ × 5² × 941¹

Step-2: 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-3: Factors of 70575

List of positive integer factors of 70575 that divides 70575 without a remainder.

1, 3, 5, 15, 25, 75, 941, 2823, 4705, 14115, 23525

Step-4: Factors of 70590

List of positive integer factors of 70590 that divides 70575 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70575 and 70590. The biggest common factor number is the GCF number.
So the greatest common factor 70575 and 70590 is 15.

Also check out the Least Common Multiple of 70575 and 70590