What is the Greatest Common Factor of 35120 and 35132?

Greatest common factor (GCF) of 35120 and 35132 is 4.

GCF(35120,35132) = 4

We will now calculate the prime factors of 35120 and 35132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35120 and 35132.

How to find the GCF of 35120 and 35132?

We will first find the prime factorization of 35120 and 35132. After we will calculate the factors of 35120 and 35132 and find the biggest common factor number .

Step-1: Prime Factorization of 35120

Prime factors of 35120 are 2, 5, 439. Prime factorization of 35120 in exponential form is:

35120 = 2⁴ × 5¹ × 439¹

Step-2: Prime Factorization of 35132

Prime factors of 35132 are 2, 8783. Prime factorization of 35132 in exponential form is:

35132 = 2² × 8783¹

Step-3: Factors of 35120

List of positive integer factors of 35120 that divides 35120 without a remainder.

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

Step-4: Factors of 35132

List of positive integer factors of 35132 that divides 35120 without a remainder.

1, 2, 4, 8783, 17566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35120 and 35132. The biggest common factor number is the GCF number.
So the greatest common factor 35120 and 35132 is 4.

Also check out the Least Common Multiple of 35120 and 35132