What is the Greatest Common Factor of 70460 and 70480?

Greatest common factor (GCF) of 70460 and 70480 is 20.

GCF(70460,70480) = 20

We will now calculate the prime factors of 70460 and 70480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70460 and 70480.

How to find the GCF of 70460 and 70480?

We will first find the prime factorization of 70460 and 70480. After we will calculate the factors of 70460 and 70480 and find the biggest common factor number .

Step-1: Prime Factorization of 70460

Prime factors of 70460 are 2, 5, 13, 271. Prime factorization of 70460 in exponential form is:

70460 = 2² × 5¹ × 13¹ × 271¹

Step-2: Prime Factorization of 70480

Prime factors of 70480 are 2, 5, 881. Prime factorization of 70480 in exponential form is:

70480 = 2⁴ × 5¹ × 881¹

Step-3: Factors of 70460

List of positive integer factors of 70460 that divides 70460 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 271, 542, 1084, 1355, 2710, 3523, 5420, 7046, 14092, 17615, 35230

Step-4: Factors of 70480

List of positive integer factors of 70480 that divides 70460 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 881, 1762, 3524, 4405, 7048, 8810, 14096, 17620, 35240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70460 and 70480. The biggest common factor number is the GCF number.
So the greatest common factor 70460 and 70480 is 20.

Also check out the Least Common Multiple of 70460 and 70480