What is the Greatest Common Factor of 70260 and 70280?

Greatest common factor (GCF) of 70260 and 70280 is 20.

GCF(70260,70280) = 20

We will now calculate the prime factors of 70260 and 70280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70260 and 70280.

How to find the GCF of 70260 and 70280?

We will first find the prime factorization of 70260 and 70280. After we will calculate the factors of 70260 and 70280 and find the biggest common factor number .

Step-1: Prime Factorization of 70260

Prime factors of 70260 are 2, 3, 5, 1171. Prime factorization of 70260 in exponential form is:

70260 = 2² × 3¹ × 5¹ × 1171¹

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 70260

List of positive integer factors of 70260 that divides 70260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1171, 2342, 3513, 4684, 5855, 7026, 11710, 14052, 17565, 23420, 35130

Step-4: Factors of 70280

List of positive integer factors of 70280 that divides 70260 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 70260 and 70280. The biggest common factor number is the GCF number.
So the greatest common factor 70260 and 70280 is 20.

Also check out the Least Common Multiple of 70260 and 70280