What is the Greatest Common Factor of 70480 and 70492?

Greatest common factor (GCF) of 70480 and 70492 is 4.

GCF(70480,70492) = 4

We will now calculate the prime factors of 70480 and 70492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70480 and 70492.

How to find the GCF of 70480 and 70492?

We will first find the prime factorization of 70480 and 70492. After we will calculate the factors of 70480 and 70492 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70492

Prime factors of 70492 are 2, 17623. Prime factorization of 70492 in exponential form is:

70492 = 2² × 17623¹

Step-3: Factors of 70480

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

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

Step-4: Factors of 70492

List of positive integer factors of 70492 that divides 70480 without a remainder.

1, 2, 4, 17623, 35246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70480 and 70492. The biggest common factor number is the GCF number.
So the greatest common factor 70480 and 70492 is 4.

Also check out the Least Common Multiple of 70480 and 70492