What is the Greatest Common Factor of 35140 and 35144?

Greatest common factor (GCF) of 35140 and 35144 is 4.

GCF(35140,35144) = 4

We will now calculate the prime factors of 35140 and 35144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35140 and 35144.

How to find the GCF of 35140 and 35144?

We will first find the prime factorization of 35140 and 35144. After we will calculate the factors of 35140 and 35144 and find the biggest common factor number .

Step-1: Prime Factorization of 35140

Prime factors of 35140 are 2, 5, 7, 251. Prime factorization of 35140 in exponential form is:

35140 = 2² × 5¹ × 7¹ × 251¹

Step-2: Prime Factorization of 35144

Prime factors of 35144 are 2, 23, 191. Prime factorization of 35144 in exponential form is:

35144 = 2³ × 23¹ × 191¹

Step-3: Factors of 35140

List of positive integer factors of 35140 that divides 35140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 251, 502, 1004, 1255, 1757, 2510, 3514, 5020, 7028, 8785, 17570

Step-4: Factors of 35144

List of positive integer factors of 35144 that divides 35140 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 191, 382, 764, 1528, 4393, 8786, 17572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35140 and 35144. The biggest common factor number is the GCF number.
So the greatest common factor 35140 and 35144 is 4.

Also check out the Least Common Multiple of 35140 and 35144