What is the Greatest Common Factor of 70270 and 70280?

Greatest common factor (GCF) of 70270 and 70280 is 10.

GCF(70270,70280) = 10

We will now calculate the prime factors of 70270 and 70280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70270 and 70280.

How to find the GCF of 70270 and 70280?

We will first find the prime factorization of 70270 and 70280. After we will calculate the factors of 70270 and 70280 and find the biggest common factor number .

Step-1: Prime Factorization of 70270

Prime factors of 70270 are 2, 5, 7027. Prime factorization of 70270 in exponential form is:

70270 = 2¹ × 5¹ × 7027¹

Step-2: Prime Factorization of 70280

Prime factors of 70280 are 2, 5, 7, 251. Prime factorization of 70280 in exponential form is:

70280 = 2³ × 5¹ × 7¹ × 251¹

Step-3: Factors of 70270

List of positive integer factors of 70270 that divides 70270 without a remainder.

1, 2, 5, 10, 7027, 14054, 35135

Step-4: Factors of 70280

List of positive integer factors of 70280 that divides 70270 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 251, 280, 502, 1004, 1255, 1757, 2008, 2510, 3514, 5020, 7028, 8785, 10040, 14056, 17570, 35140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70270 and 70280. The biggest common factor number is the GCF number.
So the greatest common factor 70270 and 70280 is 10.

Also check out the Least Common Multiple of 70270 and 70280