What is the Greatest Common Factor of 70050 and 70061?

Greatest common factor (GCF) of 70050 and 70061 is 1.

GCF(70050,70061) = 1

We will now calculate the prime factors of 70050 and 70061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70050 and 70061.

How to find the GCF of 70050 and 70061?

We will first find the prime factorization of 70050 and 70061. After we will calculate the factors of 70050 and 70061 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 70061

Prime factors of 70061 are 70061. Prime factorization of 70061 in exponential form is:

70061 = 70061¹

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 70061

List of positive integer factors of 70061 that divides 70050 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70050 and 70061. The biggest common factor number is the GCF number.
So the greatest common factor 70050 and 70061 is 1.

Also check out the Least Common Multiple of 70050 and 70061