What is the Greatest Common Factor of 70240 and 70260?

Greatest common factor (GCF) of 70240 and 70260 is 20.

GCF(70240,70260) = 20

We will now calculate the prime factors of 70240 and 70260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70240 and 70260.

How to find the GCF of 70240 and 70260?

We will first find the prime factorization of 70240 and 70260. After we will calculate the factors of 70240 and 70260 and find the biggest common factor number .

Step-1: Prime Factorization of 70240

Prime factors of 70240 are 2, 5, 439. Prime factorization of 70240 in exponential form is:

70240 = 2⁵ × 5¹ × 439¹

Step-2: 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-3: Factors of 70240

List of positive integer factors of 70240 that divides 70240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 439, 878, 1756, 2195, 3512, 4390, 7024, 8780, 14048, 17560, 35120

Step-4: Factors of 70260

List of positive integer factors of 70260 that divides 70240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70240 and 70260. The biggest common factor number is the GCF number.
So the greatest common factor 70240 and 70260 is 20.

Also check out the Least Common Multiple of 70240 and 70260