What is the Greatest Common Factor of 70280 and 70290?

Greatest common factor (GCF) of 70280 and 70290 is 10.

GCF(70280,70290) = 10

We will now calculate the prime factors of 70280 and 70290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70280 and 70290.

How to find the GCF of 70280 and 70290?

We will first find the prime factorization of 70280 and 70290. After we will calculate the factors of 70280 and 70290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70290

Prime factors of 70290 are 2, 3, 5, 11, 71. Prime factorization of 70290 in exponential form is:

70290 = 2¹ × 3² × 5¹ × 11¹ × 71¹

Step-3: Factors of 70280

List of positive integer factors of 70280 that divides 70280 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

Step-4: Factors of 70290

List of positive integer factors of 70290 that divides 70280 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 71, 90, 99, 110, 142, 165, 198, 213, 330, 355, 426, 495, 639, 710, 781, 990, 1065, 1278, 1562, 2130, 2343, 3195, 3905, 4686, 6390, 7029, 7810, 11715, 14058, 23430, 35145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70280 and 70290. The biggest common factor number is the GCF number.
So the greatest common factor 70280 and 70290 is 10.

Also check out the Least Common Multiple of 70280 and 70290