What is the Greatest Common Factor of 70648 and 70660?

Greatest common factor (GCF) of 70648 and 70660 is 4.

GCF(70648,70660) = 4

We will now calculate the prime factors of 70648 and 70660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70648 and 70660.

How to find the GCF of 70648 and 70660?

We will first find the prime factorization of 70648 and 70660. After we will calculate the factors of 70648 and 70660 and find the biggest common factor number .

Step-1: Prime Factorization of 70648

Prime factors of 70648 are 2, 8831. Prime factorization of 70648 in exponential form is:

70648 = 2³ × 8831¹

Step-2: Prime Factorization of 70660

Prime factors of 70660 are 2, 5, 3533. Prime factorization of 70660 in exponential form is:

70660 = 2² × 5¹ × 3533¹

Step-3: Factors of 70648

List of positive integer factors of 70648 that divides 70648 without a remainder.

1, 2, 4, 8, 8831, 17662, 35324

Step-4: Factors of 70660

List of positive integer factors of 70660 that divides 70648 without a remainder.

1, 2, 4, 5, 10, 20, 3533, 7066, 14132, 17665, 35330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70648 and 70660. The biggest common factor number is the GCF number.
So the greatest common factor 70648 and 70660 is 4.

Also check out the Least Common Multiple of 70648 and 70660