What is the Greatest Common Factor of 70050 and 70065?

Greatest common factor (GCF) of 70050 and 70065 is 15.

GCF(70050,70065) = 15

We will now calculate the prime factors of 70050 and 70065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70050 and 70065.

How to find the GCF of 70050 and 70065?

We will first find the prime factorization of 70050 and 70065. After we will calculate the factors of 70050 and 70065 and find the biggest common factor number .

Step-1: Prime Factorization of 70050

Prime factors of 70050 are 2, 3, 5, 467. Prime factorization of 70050 in exponential form is:

70050 = 2¹ × 3¹ × 5² × 467¹

Step-2: Prime Factorization of 70065

Prime factors of 70065 are 3, 5, 173. Prime factorization of 70065 in exponential form is:

70065 = 3⁴ × 5¹ × 173¹

Step-3: Factors of 70050

List of positive integer factors of 70050 that divides 70050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 467, 934, 1401, 2335, 2802, 4670, 7005, 11675, 14010, 23350, 35025

Step-4: Factors of 70065

List of positive integer factors of 70065 that divides 70050 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 173, 405, 519, 865, 1557, 2595, 4671, 7785, 14013, 23355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70050 and 70065. The biggest common factor number is the GCF number.
So the greatest common factor 70050 and 70065 is 15.

Also check out the Least Common Multiple of 70050 and 70065