What is the Greatest Common Factor of 35420 and 35435?

Greatest common factor (GCF) of 35420 and 35435 is 5.

GCF(35420,35435) = 5

We will now calculate the prime factors of 35420 and 35435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35420 and 35435.

How to find the GCF of 35420 and 35435?

We will first find the prime factorization of 35420 and 35435. After we will calculate the factors of 35420 and 35435 and find the biggest common factor number .

Step-1: Prime Factorization of 35420

Prime factors of 35420 are 2, 5, 7, 11, 23. Prime factorization of 35420 in exponential form is:

35420 = 2² × 5¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 35435

Prime factors of 35435 are 5, 19, 373. Prime factorization of 35435 in exponential form is:

35435 = 5¹ × 19¹ × 373¹

Step-3: Factors of 35420

List of positive integer factors of 35420 that divides 35420 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 23, 28, 35, 44, 46, 55, 70, 77, 92, 110, 115, 140, 154, 161, 220, 230, 253, 308, 322, 385, 460, 506, 644, 770, 805, 1012, 1265, 1540, 1610, 1771, 2530, 3220, 3542, 5060, 7084, 8855, 17710

Step-4: Factors of 35435

List of positive integer factors of 35435 that divides 35420 without a remainder.

1, 5, 19, 95, 373, 1865, 7087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35420 and 35435. The biggest common factor number is the GCF number.
So the greatest common factor 35420 and 35435 is 5.

Also check out the Least Common Multiple of 35420 and 35435